Graded polynomial identities as identities of universal algebras

Yuri Bahturin; Felipe Yasumura

doi:10.1016/j.laa.2018.10.006

Graded polynomial identities as identities of universal algebras

Rings and Algebras 2019-10-07 v1

Authors: Yuri Bahturin , Felipe Yasumura

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Abstract

Let $A$ and $B$ be finite-dimensional simple algebras with arbitrary signature over an algebraically closed field. Suppose $A$ and $B$ are graded by a semigroup $S$ so that the graded identitical relations of $A$ are the same as those of $B$ . Then $A$ is isomorphic to $B$ as an $S$ -graded algebra.

Keywords

graded polynomial identities finite-dimensional simple algebras semigroup grading universal algebras isomorphism

Cite

@article{arxiv.1810.02185,
  title  = {Graded polynomial identities as identities of universal algebras},
  author = {Yuri Bahturin and Felipe Yasumura},
  journal= {arXiv preprint arXiv:1810.02185},
  year   = {2019}
}

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