Reductive monoids are von Neumann regular

DOI10.1016/0021-8693(85)90157-7zbMath0597.20052OpenAlexW2003016593MaRDI QIDQ1078675

Lex E. Renner

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90157-7

zbMATH Keywords

group of unitsvon Neumann regularirreducible affine algebraic monoidirreducible varieties

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Generalizations (algebraic spaces, stacks) (14A20) Linear algebraic groups and related topics (20G99)

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Cites Work

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• Reductive groups and regular semigroups
• Linear algebraic semigroups
• On linear algebraic semigroups. III
• Classification of Semisimple Rank One Monoids
• Observable Groups and Hilbert's Fourteenth Problem
• Green's relations on a connected algebraic monoid†