Semigroups generated by nilpotent transformations

DOI10.1016/0021-8693(87)90049-4zbMath0626.20051OpenAlexW1970727284MaRDI QIDQ580508

Robert P. Sullivan

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90049-4

zbMATH Keywords

nilpotent elementsinverse semigroupcofinalitysemigroup of partial transformations

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (19)

On the Number of Nilpotents in the Partial Symmetric Semigroup ⋮ Classification of \(S_ n\)-normal semigroups ⋮ On the semigroup nature of superconformal symmetry ⋮ Fixed points of order-preserving transformations ⋮ On the nilpotent ranks of certain semigroups of transformations ⋮ Unnamed Item ⋮ Nilpotents and congruences on semigroups of transformations with fixed rank ⋮ Nilpotents in semigroups of partial order-preserving transformations ⋮ Products of nilpotent linear transformations ⋮ Nilpotents in semigroups of partial transformations ⋮ Some abstract properties of semigroups appearing in superconformal theories ⋮ Products of nilpotent matrices ⋮ On the nilpotent ranks of the principal factors of certain semigroups of partial transformations ⋮ INJECTIVE TRANSFORMATIONS WITH EQUAL GAP AND DEFECT ⋮ Congruences on Nilpotent-generated Partial Transformation Semigroups ⋮ Baer-Levi semigroups of partial transformations ⋮ Congruences on semigroups generated by injective nilpotent transformations ⋮ Semigroups of linear endomorphisms closed under conjugation ⋮ Nilpotents in semigroups of partial one-to-one order-preserving mappings

Cites Work

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• Products of idempotent linear transformations
• Semigroups of transformations of a finite set generated by idempotents with given projection characteristics
• Semigroups of transformations generated by idempotents with a given defect
• A class of bisimple, idempotent-generated congruence-free semigroups
• Automorphisms of transformation semigroups
• Products of idempotents in the semigroup of singular endomorphisms of a finite-dimensional vector space
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• On products of idempotent matrices
• K -Structure Spaces of Semigroups Generated by Idempotents
• The semigroup of endomorphisms of a Boolean ring

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