A constructive proof of the Wedderburn-Artin theorem

2014/03/19 by Sheng Gao, Gao, Sheng · 1 citation
Mathematics · Engineering · #Rings, Modules, and Algebras #Advanced Topics in Algebra #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1403.4731

Abstract

In this paper, we use the idempotent decomposition to give an explicit isomorphism from an arbitrary semisimple Artinian ring to an external direct sum of finitely many full matrix rings over division rings.

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