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Graded polynomial identities as identities of universal algebras

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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… Click to show full abstract

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 identical relations of A are the same as those of B. Then A is isomorphic to B as an S-graded algebra.

Keywords: identities identities; polynomial identities; universal algebras; graded polynomial; identities universal

Journal Title: Linear Algebra and its Applications
Year Published: 2019

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