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

DOI10.1007/s00233-009-9204-7zbMath1198.20053OpenAlexW4255685265MaRDI QIDQ982203

Bo Xu, Lun-Zhi Deng, Ji-Wen Zeng

Publication date: 6 July 2010

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

Full work available at URL: https://doi.org/10.1007/s00233-009-9204-7

zbMATH Keywords

regular elementsregular semigroupsGreen relationssemigroups of transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Regular semigroups (20M17)

Related Items (11)

On semigroups of transformations that preserve a double direction equivalence ⋮ Regular and unit-regular elements in various monoids of transformations ⋮ Green's relations and regularity for semigroups of transformations that preserve order and a double direction equivalence. ⋮ Green's relations and regularity for semigroups of transformations that preserve reverse direction equivalence. ⋮ Unnamed Item ⋮ Green’s relations and regularity on some subsemigroups of transformations that preserve equivalences ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A PARTIAL ORDER ON TRANSFORMATION SEMIGROUPS THAT PRESERVE DOUBLE DIRECTION EQUIVALENCE RELATION ⋮ Unnamed Item ⋮ A partial order on transformation semigroups with restricted range that preserve double direction equivalence

Cites Work

• On the rank of the semigroup \(T_E(X)\)
• Green's Relations for Regular Elements of Semigroups of Endomorphisms
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE
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• Unnamed Item

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