Variants of finite full transformation semigroups

DOI10.1142/S021819671550037XzbMath1338.20057arXiv1410.5253OpenAlexW3100554770MaRDI QIDQ3467627

James East, Igor Dolinka

Publication date: 4 February 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5253

zbMATH Keywords

idempotentsregular elementsgeneratorsranksvariants of semigroupsfull transformation semigroupssandwich operations

Mathematics Subject Classification ID

Related Items (22)

Semigroups of rectangular matrices under a sandwich operation ⋮ Motzkin monoids and partial Brauer monoids ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ Unnamed Item ⋮ Local Subsemigroups and Variants of Some Classes of Semigroups ⋮ On the structure of semigroups whose regular elements are completely regular ⋮ On nilpotent subsemigroups of the order-preserving and decreasing transformation semigroups ⋮ Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups ⋮ Variants of epigroups and primary conjugacy ⋮ Unnamed Item ⋮ Cross-connections and variants of the full transformation semigroup ⋮ Semigroups of partial transformations with kernel and image restricted by an equivalence ⋮ The ranks of certain semigroups of partial isometries ⋮ Sandwich semigroups in locally small categories. I: Foundations ⋮ Sandwich semigroups in locally small categories. II: Transformations ⋮ Cross-connections of linear transformation semigroups ⋮ Structure of principal one-sided ideals ⋮ Transformation Representations of Sandwich Semigroups ⋮ Cross-connections of the singular transformation semigroup ⋮ The Mathematical Work of K. S. S. Nambooripad ⋮ Sandwich semigroups in diagram categories ⋮ On nilpotent subsemigroups of the order-decreasing transformation semigroups

Uses Software

• GAP
• Semigroups

Cites Work

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• Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals
• Semigroups of transformations restricted by an equivalence.
• The structure of idempotent semigroups. I
• Classical finite transformation semigroups. An introduction.
• Regularity and Green's relations on a semigroup of transformations with restricted range.
• Semigroups of rectangular matrices under a sandwich operation
• Regularity and unit-regularity of generalized semigroups of linear transformations
• Idempotent Generation in the Endomorphism Monoid of a Uniform Partition
• ON THE SINGULAR PART OF THE PARTITION MONOID
• Semigroups under a sandwich operation
• A note on subdirect products
• Idempotent rank in finite full transformation semigroups
• Presentation of the singular part of the Brauer monoid
• RP-dominated regular semigroups
• The natural partial order on a regular semigroup
• Products of idempotent integer matrices
• Products of idempotent endomorphisms of an independence algebra of finite rank
• Some results concerning a transformation semigroup
• Idempotent generators in finite full transformation semigroups
• Generators and factorisations of transformation semigroups
• Products of idempotent endomorphisms of an independence algebra of infinite rank
• COUNTABLE VERSUS UNCOUNTABLE RANKS IN INFINITE SEMIGROUPS OF TRANSFORMATIONS AND RELATIONS
• GENERATING THE FULL TRANSFORMATION SEMIGROUP USING ORDER PRESERVING MAPPINGS
• RANK PROPERTIES OF ENDOMORPHISMS OF INFINITE PARTIALLY ORDERED SETS
• Idempotent rank in endomorphism monoids of finite independence algebras
• HALL'S CONDITION AND IDEMPOTENT RANK OF IDEALS OF ENDOMORPHISM MONOIDS
• Semigroup structures for families of functions, I. Some Homomorphism Theorems
• Combinatorial results relating to products of idempotents in finite full transformation semigroups
• A note on middle unitary semigroups

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