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A locally 5-arc transitive graph related to PSU3(8) Commun. Algebra (IF 0.7) Pub Date : 2024-04-17 John van Bon
We construct a locally 5-arc transitive G-graph Δ, where G∈{PSU3(8)⋊C2,PSU3(8)⋊C6} . The corresponding vertex stabilizer amalgams are of local characteristic 3 but are not weak (B, N)-pairs. They a...
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Hochschild homology dimension and a class of Hochschild extension algebras of truncated quiver algebras Commun. Algebra (IF 0.7) Pub Date : 2024-04-17 Tomohiro Itagaki
In this paper, we show that higher Hochschild homology groups do not vanish for a class of Hochschild extension algebras of truncated quiver algebras by the standard duality module. Consequently, t...
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Prolongation of regular-singular connections on punctured affine line over a Henselian ring Commun. Algebra (IF 0.7) Pub Date : 2024-04-17 Phùng Hô Hai, João Pedro dos Santos, Phạm Thanh Tâm, Đào Văn Thịnh
We generalize Deligne’s equivalence between the categories of regular-singular connections on the formal punctured disk and on the punctured affine line to the case where the base is a strictly Hen...
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Capability of nilpotent Lie superalgebras of small dimension Commun. Algebra (IF 0.7) Pub Date : 2024-04-16 Rudra Narayan Padhan, Ibrahem Yakzan Hasan, Saudamini Nayak
In this paper, we define a partially capable Lie superalgebra. As an application, we classify all capable nilpotent Lie superalgebras of dimension less than or equal to five.
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Twisted relative Rota-Baxter operators on Leibniz conformal algebras Commun. Algebra (IF 0.7) Pub Date : 2024-04-16 Shuangjian Guo, Shengxiang Wang
In this paper, we first investigate some properties of relative Rota-Baxter operators on Leibniz conformal algebras with respect to representations and their connections with Leibniz dendriform con...
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Leibniz cohomology with adjoint coefficients Commun. Algebra (IF 0.7) Pub Date : 2024-04-16 Shitu Fawaz Jimoh
With the Poincaré group R3, 1⋊O(3,1) as the model of departure, we focus, for n=p+q, p+q≥4 , on the affine indefinite orthogonal group Rp,q⋊SO(p,q) . Denote by hp, q the Lie algebra of the affine...
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Ideal factoriality, semistar operations, and quasiprincipal Ideals Commun. Algebra (IF 0.7) Pub Date : 2024-04-14 S. G. Gates, J. R. Juett, Lois W. Ndungu, Rhys D. Roberts
The w-operation, a “smoother” variant of the classic t-operation on the set of ideals of a commutative ring R, has recently attracted significant attention. We study when R’s monoid of w-ideals is ...
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On superalgebras with pseudoautomorphism of polynomial codimension growth Commun. Algebra (IF 0.7) Pub Date : 2024-04-13 Ginevra Giordani
Let A be an associative superalgebra endowed with a pseudoautomorphism p. In this paper we generalize the Wedderburn-Malcev Theorem in this setting and we prove that the sequence of p-codimensions ...
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Recollements and n-cluster tilting subcategories Commun. Algebra (IF 0.7) Pub Date : 2024-04-13 Taolue Long, Xiaoxiang Zhang, Yukun Zhou
In this paper, we study the relationship among three n-cluster tilting subcategories of triangulated categories in a recollement. Let (D′,D,D″) be a recollement of triangulated categories. We const...
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On the exponent of a certain quotient of Whitehead groups of division algebras Commun. Algebra (IF 0.7) Pub Date : 2024-04-13 Mehran Motiee
Let D be an F-central division algebra. In this paper, we investigated the exponent of the group G(D)=D*/NrdD(D*)D′, where D* is the group of units of D, NrdD(D*) is the image of D* under the reduc...
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Symbolic defect of monomial ideals Commun. Algebra (IF 0.7) Pub Date : 2024-04-13 Benjamin Oltsik
Given a monomial ideal I, we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of I. In many cases we determine the asymptotic growth rate of...
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Finite p-groups satisfying a weak chain condition Commun. Algebra (IF 0.7) Pub Date : 2024-04-12 Junqiang Zhang, Qinhai Zhang
Assume G is an At-group. G satisfies a weak chain condition if its every Ai-subgroup is contained in an Ai+1-subgroup for all i ⩾ 1. We study two proper subclasses of the class of the At-groups sat...
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A generalization of the lower radical type construction for strict and base radical classes Commun. Algebra (IF 0.7) Pub Date : 2024-04-12 Guy J. Cooke, Robert G. McDougall
Regarding the construction of strict and base radical classes for the variety of associative rings, we show that “subring” and “accessible subring” are two of a number of substructures that can be ...
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Corrigendum to inner Rickart and Baer Jordan algebras Commun. Algebra (IF 0.7) Pub Date : 2024-04-12 F. N. Arzikulov, U. I. Khakimov
In the present paper corrected versions of the statements in the paper “Description of finite-dimensional inner Rickart and Baer Jordan algebras” by F.N. Arzikulov and U.I. Khakimov are given. In p...
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The ring A[X,Y;λ] and the SFT property Commun. Algebra (IF 0.7) Pub Date : 2024-04-10 Abdelamir Dabbabi, Ali Benhissi
Let A be a ring and λ:R≥0→R≥0 be an increasing nonzero function. In this paper, we show that if A is a Noetherian ring with characteristic n≠0 and limk→+∞λ(k+1)λ(k)=+∞, then A[X,Y;λ] is an SFT ring...
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On the symbolic powers of defining ideals of monomial curves associated to generalized arithmetic sequences Commun. Algebra (IF 0.7) Pub Date : 2024-04-09 Do Van Kien
Let s,a,n,d be positive integers such that n≥2 and GCD(a,d)=1. Let P denote the defining ideal of the monomial curve associated to the sequence a,sa+d,…,sa+nd. In this survey, we investigate the sy...
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The Grothendieck groups of m-cluster categories of type Dn Commun. Algebra (IF 0.7) Pub Date : 2024-04-09 Huimin Chang, Xiao Zhuang
In this paper, we study the Grothendieck groups of m-cluster categories of type Dn, denoted by CDnm, when m is odd, via the m-cluster tilting subcategories of CDnm. When m = 1, we generalize the wo...
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Proximal groups: Extension of topological groups. Application in the concise representation of Hilbert envelopes on oscillatory motion waveforms Commun. Algebra (IF 0.7) Pub Date : 2024-04-05 Surabhi Tiwari, J. F. Peters
In this paper, we introduce proximal groups that are a generalization of topological groups. A straight-forward application of proximal groups is given in the concise representation of collections ...
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Another proof of a theorem of Caviglia and De Stefani concerning the Eisenbud-Green-Harris conjecture Commun. Algebra (IF 0.7) Pub Date : 2024-04-04 Abed Abedelfatah
We give another proof of the theorem of Caviglia and De Stefani about the Eisenbud-Green-Harris Conjecture. Our method uses the fact that the conjecure is true when each polynomial of the regular s...
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The Hochschild cohomology groups under gluing arrows Commun. Algebra (IF 0.7) Pub Date : 2024-04-03 Yuming Liu, Lleonard Rubio y Degrassi, Can Wen
In a previous paper we have compared the Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. In the present paper, we compare the Hochschild cohomolog...
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On left annihilating content polynomials and power series Commun. Algebra (IF 0.7) Pub Date : 2024-04-01 H. Aqania, E. Hashemi, M. Paykanian
Let R be an associative unital ring, and let f∈R[x]. We say that f is a left annihilating content (AC) polynomial if f = af1 for some a∈R and f1∈R[x] with lR[x](f1)=0. The ring R is called a left E...
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Domestic intersections in fusion systems Commun. Algebra (IF 0.7) Pub Date : 2024-04-01 Hangyang Meng, Xiuyun Guo
Let F be a saturated fusion system over a p-group S and let E be a subsystem of F with AutE(S)=AutF(S). We prove that the fusion system F is generated by all E-morphisms and all F-automorphisms of ...
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On the odd order subgroups of solvable linear groups Commun. Algebra (IF 0.7) Pub Date : 2024-03-31 Fang Bian, Xiaoyou Chen, Yong Yang
In this paper, we first strengthen a few results about the order of solvable linear groups of odd order. We then use these results to bound the product of the orders of odd-order composition factor...
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On ICΦS– subgroups of finite groups Commun. Algebra (IF 0.7) Pub Date : 2024-03-28 Xinjian Zhang, Yong Xu
Let H be a subgroup of a group G. Then H is called an ICΦs− subgroup of G if (H∩[H,G])HG/HG⊆Φ(H/HG)HsG/HG, where HsG is the subgroup of H generated by all those subgroups of H which are s-permutabl...
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A variation of stable range one Commun. Algebra (IF 0.7) Pub Date : 2024-03-27 Yiqiang Zhou
For a subset S of a ring R, an element a is said to have left S-element stable range 1 if whenever Ra + Rb = R there exists r∈S such that a + rb is a unit. When S = R (.resp., S=U(R) and S=idem(R))...
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Automorphisms of categories of free algebras with unit for classical varieties of non-associative algebras Commun. Algebra (IF 0.7) Pub Date : 2024-03-23 E. Aladova
The goal of this paper is to describe the group of strongly stable automorphisms for categories of free finitely generated non-associative algebras with unit for classical varieties of non-associat...
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Isotopisms of nilpotent Leibniz algebras and Lie racks Commun. Algebra (IF 0.7) Pub Date : 2024-03-22 Gianmarco La Rosa, Manuel Mancini, Gábor P. Nagy
In this paper we study the isotopism classes of two-step nilpotent algebras. We show that every nilpotent Leibniz algebra g with dim[g,g]=1 is isotopic to the Heisenberg Lie algebra or to the Hei...
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Nilpotency and capability in multiplicative Lie algebras Commun. Algebra (IF 0.7) Pub Date : 2024-03-22 Amit Kumar, Mani Shankar Pandey, Sumit Kumar Upadhyay
This paper aims to introduce the concept of nilpotency and capability in multiplicative Lie algebras. Also, we see the existence of covers of a multiplicative Lie algebra and thoroughly examine the...
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w-locally isomorphic torsionless modules over weakly Matlis domains Commun. Algebra (IF 0.7) Pub Date : 2024-03-21 Başak Ay Saylam, Ezgi Gürbüz, Haleh Hamdi
Let R be an integral domain. An R-module G is torsionless if it is isomorphic to a submodule of a finitely generated free R-module. For torsionless modules, we define w-weak isomorphism types which...
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Regularity of twisted partial skew generalized power series Commun. Algebra (IF 0.7) Pub Date : 2024-03-21 Wagner Cortes, Simone Ruiz
In this article, we work with a unital twisted partial action of a group G on a ring R. We study when the twisted partial skew generalized power series rings are Von Newman regular. Moreover, we st...
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Normal generation of special line bundles on multiple coverings Commun. Algebra (IF 0.7) Pub Date : 2024-03-20 Youngook Choi, Seonja Kim
Let X be a smooth curve of genus g which is a multiple covering ϕ:X→Y of a smooth curve Y. We define an invariant Δϕ of the map ϕ , which is the maximum among the integers m such that for a base ...
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Involutions in finite simple groups as products of conjugates Commun. Algebra (IF 0.7) Pub Date : 2024-03-20 Daniele Dona, Martin W. Liebeck, Amilla Rekvényi
Let G be a finite non-abelian simple group, C a non-identity conjugacy class of G, and ΓC the Cayley graph of G based on C∪C−1 . Our main result shows that in any such graph, there is an involutio...
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Non-global nonlinear skew Lie n-derivations on *-algebras Commun. Algebra (IF 0.7) Pub Date : 2024-03-20 Mohammad Ashraf, Md Shamim Akhter, Mohammad Afajal Ansari
Let A be a unital prime *-algebra (over the complex field C ) with a nontrivial projection. For any S1,S2,…,Sn∈A, define q1(S1)=S1,q2(S1,S2)=[S1,S2]⋄=S1S2−S2S1∗ and qn(S1,S2,…,Sn)=[qn−1(S1,S2,…,...
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Number of generators of derivation modules of some one-dimensional local domain Commun. Algebra (IF 0.7) Pub Date : 2024-03-19 Amit Patra
In this paper, we study the generators of the module of derivations of some one-dimensional local domains.
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Rota-Baxter co-operators on commutative Hopf algebras Commun. Algebra (IF 0.7) Pub Date : 2024-03-14 Huihui Zheng, Chan Zhao, Linlin Liu
In this paper, we mainly research Rota-Baxter co-operators on commutative Hopf algebras. We get a new Hopf algebra and some Hopf co-braces via Rota-Baxter co-operators on commutative Hopf algebras....
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Star operations related to polynomial closure Commun. Algebra (IF 0.7) Pub Date : 2024-03-14 Dario Spirito, Francesca Tartarone
We study polynomial closure of ideals from the point of view of star operations. We show that, if D is an integrally closed domain or a domain of residue characteristic 0, the polynomial closure of...
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Cohomology and homotopy of Lie triple systems Commun. Algebra (IF 0.7) Pub Date : 2024-03-13 Haobo Xia, Yunhe Sheng, Rong Tang
In this paper, first we give the controlling algebra of Lie triple systems. In particular, the cohomology of Lie triple systems can be characterized by the controlling algebra. Then using controlli...
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Composition of generalized derivations acting as a Jordan product in prime rings Commun. Algebra (IF 0.7) Pub Date : 2024-03-12 Balchand Prajapati, Sunil K. Prajapati
Let F, G, and H be generalized derivations with F≠0 on a prime ring R of characteristic different from 2, with Utumi quotient ring U and extended centroid C such that for all r∈RnFH(f(r)2)=F(f(r))G...
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Twisted affine Lie superalgebras and integrability Commun. Algebra (IF 0.7) Pub Date : 2024-03-13 Malihe Yousofzadeh
A twisted affine Lie superalgebra is either a twisted affine Lie algebra or of one of the types X=A(2m−1,2n−1)(2) (m,n≠0, (m,n)≠(1,1) ), A(2m,2n)(4), A(2m,2n−1)(2) or D(m+1,n)(2) (m≥0,n>0 ). It...
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Bialgebras via Manin triples of compatible mock-Lie algebras Commun. Algebra (IF 0.7) Pub Date : 2024-03-12 Karima Benali
Motivated by recent work on compatible mock-Lie algebras such that any linear combination of the two mock-Lie structures is a mock-Lie structure, in this paper we introduce compatible mock-Lie bial...
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On the existence and properties of left invariant k-symplectic structures on Lie groups with bi-invariant peudo-Riemannian metric Commun. Algebra (IF 0.7) Pub Date : 2024-03-12 Ilham Ait Brik, Mohamed Boucetta
k-symplectic manifolds are a convenient framework to study classical field theories and they are a generalization of polarized symplectic manifolds. This paper focus on the existence and the proper...
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Representations and formal deformations of Leibniz H-pseudoalgebras Commun. Algebra (IF 0.7) Pub Date : 2024-03-09 Linlin Liu, Yue Gu
In this paper, we first give some constructions of right (resp. left) Leibniz H-pseudoalgebras and explore the characterization of symmetric Leibniz H-pseudoalgebras. Furthermore, we introduce the ...
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On the number of centralizers and conjugacy class sizes in finite groups Commun. Algebra (IF 0.7) Pub Date : 2024-03-09 Julio C. M. Pezzott
Given a finite group G, denote by cs(G) the set of the sizes of the conjugacy classes of G and by Cent(G) the set of the centralizers of elements of G. Consider a prime p and integers s≥2 and n≥2 ...
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Skew-convex function rings and evaluation of skew rational functions Commun. Algebra (IF 0.7) Pub Date : 2024-03-09 Masood Aryapoor
The product formula for evaluating products of skew polynomials is used to construct a class of rings. As an application, we present a method of evaluating quotients of skew polynomials.
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On simple modules and automorphisms of the quantum Galilei group Commun. Algebra (IF 0.7) Pub Date : 2024-03-07 Tao Lu, Mingfan Xu
This paper is devoted to ring theoretic properties and representations of the quantum Galilei group Fq(G) and its Hopf dual Uq(g) . We classify the primitive ideals and simple modules of Fq(G) an...
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Octonions, Albert vectors and the group E6(F) Commun. Algebra (IF 0.7) Pub Date : 2024-03-06 John N. Bray, Yegor Stepanov, Robert A. Wilson
Abstract–We present a uniform approach to the construction of the groups of type E6 over arbitrary fields without using Lie theory. This gives a simple description of the group generators and some...
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Chern character, infinitesimal Abel-Jacobi map and semi-regularity map Commun. Algebra (IF 0.7) Pub Date : 2024-03-05 Sen Yang
Using Chern character, we construct a natural transformation from the local Hilbert functor to a functor of Artin rings defined from Hochschild homology. This enables us to realize (after slight mo...
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Prime groupoid graded rings with applications to partial skew groupoid rings Commun. Algebra (IF 0.7) Pub Date : 2024-02-29 Paula S. E. Moreira, Johan Öinert
In this paper, we investigate primeness of groupoid graded rings. We provide a set of necessary and sufficient conditions for primeness of a nearly-epsilon strongly groupoid graded ring. Furthermor...
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Ascent and descent of Artinian module structures under flat base changes Commun. Algebra (IF 0.7) Pub Date : 2024-02-28 Tran Do Minh Chau, Le Thanh Nhan
Let φ:R→S be a flat local homomorphism between commutative Noetherian local rings. In this paper, the ascent and descent of Artinian module structures between R and S are investigated. For an Artin...
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Pre-Leibniz algebras Commun. Algebra (IF 0.7) Pub Date : 2024-02-28 Apurba Das
The notion of pre-Leibniz algebras was recently introduced in the study of Rota-Baxter operators on Leibniz algebras. In this paper, we first construct a graded Lie algebra whose Maurer-Cartan elem...
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Logical generation of groups Commun. Algebra (IF 0.7) Pub Date : 2024-02-28 Alireza Abdollahi, Mohammad Shahryari
A group G is called logically generated by a subset S, if every element of G can be defined by a first order formula with parameters from S. We consider the case where G is a direct product of fini...
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Combinatorial Fock spaces and quantum symmetric pairs Commun. Algebra (IF 0.7) Pub Date : 2024-02-22 Michael Ehrig, Kaixuan Gan
A way to construct the natural representation of the quantized affine algebra Uv(sl̂l) is via the deformed Fock space by Misra and Miwa. This relates the classes of Weyl modules for Uq(slN) were q ...
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Chain conditions for rings with enough idempotents with applications to category graded rings Commun. Algebra (IF 0.7) Pub Date : 2024-02-22 Patrik Lundström
We obtain criteria for when a ring with enough idempotents is left/right artinian or noetherian in terms of local criteria defined by the associated complete set of idempotents for the ring. We app...
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On separability of the lattice of τ-closed n-multiply σ-local formations Commun. Algebra (IF 0.7) Pub Date : 2024-02-23 Inna N. Safonova
All groups under consideration are finite. Let σ={σi|i∈I} be some partition of the set of all primes P, G be a group, F be a class of groups, σ(G)={σi|σi∩π(G)≠∅}, and σ(F)=∪G∈Fσ(G).A function f of ...
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A criterion for the properness of star-transposition as an involution on n × n matrices over any associative star-ring Commun. Algebra (IF 0.7) Pub Date : 2024-02-23 Michael P. Drazin
On the ring Mn(C) of all n × n complex matrices A, the conjugate transpose involution A↦A* has the “properness” property A*A=0⇒A=0, as required for the existence of the partial order known as the “...
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On pure subrings of sp-groups Commun. Algebra (IF 0.7) Pub Date : 2024-02-22 A. Amini, B. Amini, E. Momtahan
Let G be a sp-group such that for every prime p, Gp is elementary. We show that EndZ(G) is a sp-group and every subring R of ∏EndZ(Gp), containing ⊕EndZ(Gp) is pure if and only if R=MT={x∈∏p∈PEnd(G...
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Idempotent-prime ideals and Baer-type rings with involution Commun. Algebra (IF 0.7) Pub Date : 2024-02-22 Muhammad Saad, Usama A. Aburawsh
In this article, we study some idempotent-structures as cP-Baer rings and I-prime rings. Moreover, we define cP-Baer *-rings and I-*-prime *-rings as involutive versions of cP-Baer rings and I-prim...
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Gorenstein Krull domains and their factor rings Commun. Algebra (IF 0.7) Pub Date : 2024-02-22 Shiqi Xing
The concept of Gorenstein Krull domains can be viewed as a Gorenstein analogue of Krull domains, which are not necessarily integrally closed. This allows us to study those domains from the point vi...
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Strong Gelfand pairs of SL(2,pn) Commun. Algebra (IF 0.7) Pub Date : 2024-02-22 Jordan C. Gardiner, Stephen P. Humphries
A strong Gelfand pair (G, H) is a group G together with a subgroup H such that every irreducible character of H induces a multiplicity-free character of G. We classify the strong Gelfand pairs of t...
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Integer-valued polynomials on subsets of upper triangular matrix rings Commun. Algebra (IF 0.7) Pub Date : 2024-02-19 A. R. Naghipour, J. Sedighi Hafshejani
S. Frisch, showed that the integer-valued polynomials on upper triangular matrix ring IntTn(K)(Tn(D)):={f∈Tn(K)[x]|f(Tn(D))⊆Tn(D)} is a ring, where D is an integral domain with field of fractions K...