On the rank of completely 0-simple semigroups

DOI10.1017/S0305004100072613zbMath0817.20062OpenAlexW2004061961MaRDI QIDQ4314724

Nikola Ruškuc

Publication date: 8 August 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100072613

zbMATH Keywords

maximal subgroupsgenerating setscompletely 0-simple semigroupsconnected graphssandwich matrixSchützenberger groupfinite completely simple semigroupsidempotent-generated subsemigrouprank of total transformation semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Regular semigroups (20M17)

Related Items (24)

FINITE PRESENTABILITY OF SEMIGROUP CONSTRUCTIONS ⋮ Semigroups of rectangular matrices under a sandwich operation ⋮ On relative ranks of the semigroup of orientation-preserving transformations on infinite chain with restricted range ⋮ Generating sets of an infinite semigroup of transformations preserving a zig-zag order ⋮ The relative rank of the endomorphism monoid of a finite \(G\)-set ⋮ A note on generators of the endomorphism semigroup of an infinite countable chain ⋮ Rank properties of the semigroup of endomorphisms over Brandt semigroup ⋮ Homological finiteness properties of monoids, their ideals and maximal subgroups. ⋮ John Macintosh Howie: work and legacy ⋮ Rank properties of the semigroup reducts of affine near-semirings over Brandt semigroups ⋮ Generating Sets of Completely 0-Simple Semigroups ⋮ Sandwich semigroups in locally small categories. I: Foundations ⋮ On relative ranks of the semigroup of orientation-preserving transformations on infinite chains ⋮ On relative ranks of full transformation semigroups ⋮ On the Semigroup of Partial Isometries of a Finite Chain ⋮ Structure of principal one-sided ideals ⋮ Rank properties in finite semigroups¹ ⋮ On Rank Properties of Endomorphisms of Finite Circular Orders ⋮ On relative ranks of finite transformation semigroups with restricted range ⋮ On orientation-preserving transformations of a chain ⋮ A note on maximal group homomorphic images of completely simple semigroups ⋮ The Ranks of Ideals in Various Transformation Monoids ⋮ Generators and relations of Rees matrix semigroups ⋮ Sandwich semigroups in diagram categories

Cites Work

• Unnamed Item
• Regular semigroup congruences
• On recognition and compactification
• On regular semigroups
• Semigroups admitting relative inverses
• Idempotent rank in finite full transformation semigroups
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

This page was built for publication: On the rank of completely 0-simple semigroups