Products of idempotents in algebraic monoids

DOI10.1017/S1446788700013070zbMath1102.20043MaRDI QIDQ5480049

Putcha, Mohan S.

Publication date: 25 July 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Weyl groupsstrongly \(\pi\)-regular semigroupsgroups of unitsrectangular groupsproducts of idempotentsreductive algebraic monoidsidempotent generated semigroupssemisimple algebraic monoids

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (13)

Semigroups of rectangular matrices under a sandwich operation ⋮ Subgroups of free idempotent generated semigroups need not be free. ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ Idempotents and one-sided units: lattice invariants and a semigroup of functors on the category of monoids ⋮ On Algebraic Semigroups and Monoids ⋮ A group-theoretical interpretation of the word problem for free idempotent generated semigroups ⋮ Every group is a maximal subgroup of a naturally occurring free idempotent generated semigroup. ⋮ Enumeration of idempotents in diagram semigroups and algebras ⋮ Regular centralizers of idempotent transformations. ⋮ Free idempotent generated semigroups: the word problem and structure via gain graphs ⋮ Maximal subgroups of free idempotent generated semigroups over the full linear monoid ⋮ The Mathematical Work of K. S. S. Nambooripad ⋮ Various Forms of Generating Subsemigroups in Algebraic Monoids

Cites Work

• Algebraic monoids with a dense group of units
• Completely regular algebraic monoids
• The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
• On regular semigroups
• Regular Linear Algebraic Monoids
• Algebraic Monoids whose Nonunits are Products of Idempotents
• Conjugacy Classes and Nilpotent Variety of a Reductive Monoid
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

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