The Unit Groups of Affine Algebraic Monoids

DOI10.2307/2044052zbMath0517.20043OpenAlexW4256068164MaRDI QIDQ3665336

William C. Waterhouse

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044052

zbMATH Keywords

group of unitsdense subgroupaffine algebraic groupsconnected algebraic groupaffine algebraic monoidscharacter of infinite order

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items

Analogue of the Bruhat decomposition for algebraic monoids ⋮ Classification of Semisimple Rank One Monoids ⋮ Algebraic Monoids and Renner Monoids ⋮ Classification of Semisimple Algebraic Monoids ⋮ Affine embeddings with a finite number of orbits ⋮ Algebraic monoids and group embeddings ⋮ Determinant functions on algebraic monoids ⋮ Reductive groups and regular semigroups ⋮ A semigroup approach to linear algebraic groups. II: Roots

Cites Work

• Corrigendum: On linear algebraic semigroups. III
• On Linear Algebraic Semigroups
• On Linear Algebraic Semigroups
• The group of units of a connected algebraic monoid^†
• Connected Algebraic Monoids
• Green's relations on a connected algebraic monoid†
• Unnamed Item
• Unnamed Item