Polynomial Identities of Finite Dimensional Simple Algebras

I. P. Shestakov; Mikhail Zaicev

doi:10.1080/00927870903527600

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JOURNAL ARTICLE

Polynomial Identities of Finite Dimensional Simple Algebras

I. P. Shestakov Mikhail Zaicev

Year: 2011 Journal: Communications in Algebra Vol: 39 (3)Pages: 929-932 Publisher: Taylor & Francis

DOI: 10.1080/00927870903527600

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Abstract

Let F be an algebraically closed field and let A and B be arbitrary finite dimensional simple algebras over F. We prove that A and B are isomorphic if and only if they satisfy the same identities.

Keywords:

Mathematics Simple (philosophy) Polynomial Pure mathematics Algebra over a field Matrix polynomial Mathematical analysis

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Polynomial and algebraic computation

Physical Sciences → Computer Science → Computational Theory and Mathematics

Polynomial Identities of Finite Dimensional Simple Algebras

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