Structure of principal one-sided ideals

DOI10.1142/S0218196721400063OpenAlexW3171109816MaRDI QIDQ4957769

James East

Publication date: 9 September 2021

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

Full work available at URL: https://arxiv.org/abs/1911.07373

zbMATH Keywords

semigroupsrankone-sided idealstransformation semigroupsidempotent rankone-sided identities

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Regular semigroups (20M17)

Related Items

The semigroup of endomorphisms with restricted range of an independence algebra ⋮ Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups ⋮ The ℛ-height of semigroups and their bi-ideals

Uses Software

• Semigroups

Cites Work

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• A natural partial order on certain semigroups of transformations with restricted range.
• Motzkin monoids and partial Brauer monoids
• Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals
• Rank and idempotent rank of finite full transformation semigroups with restricted range.
• On semigroups of endomorphisms of a chain with restricted range.
• The minimal number of generators of a finite semigroup.
• Semigroups of transformations restricted by an equivalence.
• Order-preserving transformations with restricted range: regularity, Green's relations, and ideals.
• The regular part of a semigroup of transformations with restricted range.
• Green's relations and stability for subsemigroups
• Regularity and Green's relations on a semigroup of transformations with restricted range.
• Maximal and minimal congruences on some semigroups.
• Semigroups of rectangular matrices under a sandwich operation
• Sandwich semigroups in locally small categories. I: Foundations
• Sandwich semigroups in locally small categories. II: Transformations
• Idempotents and one-sided units in infinite partial Brauer monoids
• A note on abundance of certain semigroups of transformations with restricted range.
• On the structure of semigroups
• On Semigroups of Orientation-preserving Transformations with Restricted Range
• PARTIAL ORDERS ON SEMIGROUPS OF PARTIAL TRANSFORMATIONS WITH RESTRICTED RANGE
• Semigroups under a sandwich operation
• THE IDEAL STRUCTURE OF SEMIGROUPS OF TRANSFORMATIONS WITH RESTRICTED RANGE
• On the Ranks of Semigroups of Transformations on a Finite Set with Restricted Range
• Variants of finite full transformation semigroups
• Idempotent rank in finite full transformation semigroups
• SEMIGROUPS OF LINEAR TRANSFORMATIONS WITH RESTRICTED RANGE
• Regular elements of some semigroups of linear transformations and matrices
• A Natural Partial Order for Semigroups
• Some results concerning a transformation semigroup
• On the rank of completely 0-simple semigroups
• On relative ranks of full transformation semigroups
• Twisted Brauer monoids
• THE REGULAR PART OF A SEMIGROUP OF LINEAR TRANSFORMATIONS WITH RESTRICTED RANGE
• Set Theory
• On certain order-preserving transformation semigroups
• Idempotent rank in endomorphism monoids of finite independence algebras
• HALL'S CONDITION AND IDEMPOTENT RANK OF IDEALS OF ENDOMORPHISM MONOIDS
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• A note on middle unitary semigroups