Order-preserving transformations with restricted range: regularity, Green's relations, and ideals.

DOI10.1007/s00012-015-0354-zzbMath1332.20064OpenAlexW1144496853MaRDI QIDQ745709

Jintana Sanwong, Worachead Sommanee

Publication date: 14 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00012-015-0354-z

zbMATH Keywords

regular elementsidealsGreen relationsidempotent generated subsemigroupssemigroups of order-preserving transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items

The semigroups of order-preserving transformations with restricted range ⋮ The regular part of a semigroup of full transformations with restricted range: maximal inverse subsemigroups and maximal regular subsemigroups of its ideals ⋮ Structure of principal one-sided ideals ⋮ On the semigroup of order-preserving partial isometries of a finite chain with restricted range

Cites Work

• Rank and idempotent rank of finite full transformation semigroups with restricted range.
• On semigroups of endomorphisms of a chain with restricted range.
• The regular part of a semigroup of transformations with restricted range.
• Regularity and Green's relations on a semigroup of transformations with restricted range.
• Maximal and minimal congruences on some semigroups.
• On the ranks of certain semigroups of order-preserving transformations
• THE IDEAL STRUCTURE OF SEMIGROUPS OF TRANSFORMATIONS WITH RESTRICTED RANGE
• Some results concerning a transformation semigroup
• Regular order-preserving transformation semigroups
• Products of idempotents in certain semigroups of transformations
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