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Triangular lat-igusa-todorov algebras

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Abstract

In 2021 the authors D. Bravo, M. Lanzilotta, O. Mendoza and J. Vivero gave a generalization of the concept of Igusa-Todorov algebra and proved that those algebras, named Lat-Igusa-Todorov (LIT for short), satisfy the finitistic dimension conjecture. In this paper we explore the scope of that generalization and give conditions for a triangular matrix algebra to be LIT in terms of the algebras and the bimodule used in its definition. As an application we obtain that the tensor product of an LIT \(\mathbb {K}\)-algebra with a path algebra of a quiver whose underlying graph is a tree, is LIT.

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The author did not receive financial support from any organization for the submitted work. The author has no relevant financial or non-financial interests to disclose.

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  1. Instituto de Matemática y Estadística Rafael Laguardia, Universidad de la República, Montevideo, Uruguay

    José Armando Vivero

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  1. José Armando Vivero
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Correspondence to José Armando Vivero.

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Communicated by Christoph Schweigert.

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Vivero, J.A. Triangular lat-igusa-todorov algebras. Abh. Math. Semin. Univ. Hambg. 92, 53–67 (2022). https://doi.org/10.1007/s12188-022-00257-3

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  • DOI: https://doi.org/10.1007/s12188-022-00257-3

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