Identities and isomorphisms of finite-dimensional graded simple algebras

Angelo Bianchi; Diogo Diniz

doi:10.1016/j.jalgebra.2019.02.021

Identities and isomorphisms of finite-dimensional graded simple algebras

Rings and Algebras 2019-05-14 v3

Authors: Angelo Bianchi , Diogo Diniz

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Abstract

Let $\mathbb F$ be an algebraically closed field, $G$ be an abelian group, and let $A$ and $B$ be arbitrary finite-dimensional $G$ -graded simple algebras over $\mathbb F$ . We prove that $A$ and $B$ are isomorphic if, and only if, they satisfy the same graded polynomial identities.

Keywords

graded simple algebras isomorphism graded polynomial identities abelian group algebraically closed field

Cite

@article{arxiv.1804.01589,
  title  = {Identities and isomorphisms of finite-dimensional graded simple algebras},
  author = {Angelo Bianchi and Diogo Diniz},
  journal= {arXiv preprint arXiv:1804.01589},
  year   = {2019}
}

Comments

Typos corrected. Acknowledgments added. Title modified

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