The group of units of a connected algebraic monoid†

DOI10.1080/03081088208817469zbMath0491.20052OpenAlexW2066435558MaRDI QIDQ3952318

Putcha, Mohan S.

Publication date: 1982

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088208817469

zbMATH Keywords

idempotentsgroup of unitsorthodox semigroupsemilattice of archimedean semigroupsconnected algebraic monoidclosed connected monoid of matrices

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Classification of Semisimple Rank One Monoids, Algebraic Monoids and Renner Monoids, The Unit Groups of Affine Algebraic Monoids, Linear algebraic semigroups, The J-class structure of connected algebraic monoids, On algebraic semigroups and monoids. II., Connected Algebraic Monoids, Regular Linear Algebraic Monoids, Reductive groups and regular semigroups, Linear associative algebras with finitely many idempotents, A semigroup approach to linear algebraic groups, The centraliser of a semisimple element on a reductive algebraic monoid

Cites Work

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• On linear algebraic semigroups. III
• On Putcha's theorem concerning semilattice of archimedean semigroups
• Semilattice decompositions of semigroups