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On a variety of right-symmetric algebras

Rings and Algebras 2024-01-05 v2
Authors: Nurlan Ismailov , Ualbai Umirbaev
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Abstract

We construct a finite-dimensional metabelian right-symmetric algebra over an arbitrary field that does not have a finite basis of identities.

Keywords

right-symmetric algebra metabelian algebra finite basis of identities variety of algebras

Cite

@article{arxiv.2311.17758,
  title  = {On a variety of right-symmetric algebras},
  author = {Nurlan Ismailov and Ualbai Umirbaev},
  journal= {arXiv preprint arXiv:2311.17758},
  year   = {2024}
}

Comments

16 pages

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