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arXiv · 1804.01589

Identities and isomorphisms of finite-dimensional graded simple algebras

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.

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Angelo Bianchi, Diogo Diniz. 2018-06-07. Identities and isomorphisms of finite-dimensional graded simple algebras. https://doi.org/10.1016/j.jalgebra.2019.02.021

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