Green's relations and regularity for semigroups of transformations that preserve order and a double direction equivalence.

DOI10.1007/s00233-011-9332-8zbMath1242.20071OpenAlexW4230681472MaRDI QIDQ415524

Ji-Wen Zeng, Tai-Jie You, Lun-Zhi Deng

Publication date: 8 May 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-011-9332-8

zbMATH Keywords

regular semigroupsGreen relationstransformation semigroupssemigroups of order preserving transformations

Mathematics Subject Classification ID

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

Related Items (7)

Regular and unit-regular elements in various monoids of transformations ⋮ On regularity of semigroups of maps that preserve a binary relation ⋮ Unnamed Item ⋮ Green’s relations on ternary semihypergroups and crossed hyperproduct of hypergroups ⋮ Green’s relations and regularity on some subsemigroups of transformations that preserve equivalences ⋮ On certain semigroups of transformations that preserve a partition ⋮ Unnamed Item

Cites Work

• Green's equivalences on semigroups of transformations preserving order and an equivalence relation.
• Green's relations and regularity for semigroups of transformations that preserve double direction equivalence.
• On the ranks of certain semigroups of order-preserving transformations
• On the structure of semigroups
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE

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