The Orbit Structures of (, σ)-Irreducible Monoids

DOI10.1080/00927870600936625zbMath1115.20057OpenAlexW2003218526MaRDI QIDQ3422860

Zhuo Li, You'an Cao

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600936625

zbMATH Keywords

idempotentsorbitsroot systemslinear algebraic monoidsreductive monoidsPutcha lattices of cross-sections\((\mathcal J,\sigma)\)-irreducible monoids

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Combinatorics of partially ordered sets (06A07)

Cites Work

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• Analogue of the Bruhat decomposition for algebraic monoids
• The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
• The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids
• Types of reductive monoids
• The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids. II
• The classification of (J, σ)-irreducible monoids of typeA₄
• Introduction to Lie Algebras and Representation Theory

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