Regularity in the semigroup of transformations preserving a zig-zag order

DOI10.1007/s40840-019-00772-2zbMath1480.20138OpenAlexW2951768162MaRDI QIDQ2305653

Chompunutch Khongthat, Ratana Srithus, Ronnason Chinram

Publication date: 11 March 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00772-2

zbMATH Keywords

fenceorder-preservingregularleft regularright regular

Mathematics Subject Classification ID

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

Related Items (3)

Congruences on infinite semigroups of transformations preserving a zig-zag order ⋮ Regularity of semigroups of transformations whose characters form the semigroup of a \(\Delta\)-structure ⋮ Various regularities for semigroups of transformations on a finite set determined by a zig-zag order

Cites Work

• On semigroups of endomorphisms of a chain with restricted range.
• Algebraic properties of crowns and fences
• Regularity and Green's relations on a semigroup of transformations with restricted range.
• The formula for the number of order-preserving selfmappings of a fence
• The number of order-preserving maps between fences and crowns
• The rank of the semigroup of all order-preserving transformations on a finite fence
• On regular semigroups
• On the structure of semigroups
• Regular subsemigroups of the semigroups of transformations preserving a fence
• COREGULARITY OF ORDER-PRESERVING SELF-MAPPING SEMIGROUPS OF FENCES
• GENERATING THE FULL TRANSFORMATION SEMIGROUP USING ORDER PRESERVING MAPPINGS
• Semigroups of order-preserving mappings
• On the semigroup of all partial fence-preserving injections on a finite set
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE
• Regular order-preserving transformation semigroups
• Regular semigroups of partial transformations preserving a fence N
• On Regular Rings
• Demi-groupes inversifs et demi-groupes réunions de demi-groupes simples
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