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On Singular Functional Variables in Hyperidentities

  • PART I “MATHEMATICAL LOGIC AND PATTERN RECOGNITION”
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Abstract

In the first part of this paper, we give a classification of nontrivial left and right distributive hyperidentities satisfied in nontrivial divisible algebras. In the second part is characterized semigroups with hyperidentities of associativity with a singular functional variable.

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REFERENCES

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ACKNOWLEDGMENTS

The first author was partially supported by the State Committee of Science of the Republic of Armenia, grant nos. 10-3/1-41, 21T-1A213.

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. Yerevan State University, 0025, Yerevan, Armenia

    Yu. Movsisyan & S. Davidov

Authors
  1. Yu. Movsisyan
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  2. S. Davidov
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Corresponding authors

Correspondence to Yu. Movsisyan or S. Davidov.

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The authors of this work declare that they have no conflicts of interest.

Additional information

Yuri Movsisyan is a full Professor of Mathematics and the Honorary Head of the Chair of Algebra and Geometry at Yerevan State University. He is also the President of the Armenian Mathematical Union. He has published articles and books on algebra, number theory, and their applications, including seminal contributions in algebra and model theory, two pioneering and influential books on hyperidentities (1986, 1990). His works have established the foundations of the algebraic theory of hyperidentities and the theory of binary G-spaces in topology. For achievements in scientific research and educational impact on generations of mathematicians, Prof. Movsisyan has been awarded with Armenia’s highest Anania Shirakatsi state award for the development of science.

Sergey Davidov is an Associate Professor of the Chair of Algebra and Geometry at Yerevan State University. He has published around 60 articles on algebra, number theory, mathematical logic. He is an author of monography (co-authored with Yu. Movsisyan) on medial algebras that is a full survey on the topic on the time of publishing.

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Movsisyan, Y., Davidov, S. On Singular Functional Variables in Hyperidentities. Pattern Recognit. Image Anal. 34, 31–39 (2024). https://doi.org/10.1134/S1054661824010139

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