An elementary approach to Wedderburn's structure theory.

DOI10.1016/J.EXMATH.2009.04.003zbMATH Open1190.16028arXiv0902.0120OpenAlexW2061082713MaRDI QIDQ2654164

Matej Brešar

Publication date: 15 January 2010

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Abstract: Wedderburn's theorem on the structure of finite dimensional semisimple algebras is proved by using minimal prerequisites.

Full work available at URL: https://arxiv.org/abs/0902.0120

zbMATH Keywords

matrix algebrasdivision algebrasWedderburn theoremfinite-dimensional simple algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Finite-dimensional division rings (16K20)

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