Generating sets of an infinite semigroup of transformations preserving a zig-zag order

DOI10.3906/mat-2007-69zbMath1496.20114arXiv2007.10230OpenAlexW3100954994MaRDI QIDQ5099811

Jörg Koppitz, Somnuek Worawiset, Laddawan Lohapan

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.10230

zbMATH Keywords

fencetransformationorder-preservinggenerating setzig-zag order

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Cites Work

• Generating sets in some semigroups of order-preserving transformations on a finite set.
• The number of order-preserving maps of fences and crowns
• On the ranks of certain semigroups of order-preserving transformations
• The formula for the number of order-preserving selfmappings of a fence
• Generating sets of finite singular transformation semigroups.
• The rank of the semigroup of all order-preserving transformations on a finite fence
• Regular subsemigroups of the semigroups of transformations preserving a fence
• COREGULARITY OF ORDER-PRESERVING SELF-MAPPING SEMIGROUPS OF FENCES
• On the rank of completely 0-simple semigroups
• COUNTABLE VERSUS UNCOUNTABLE RANKS IN INFINITE SEMIGROUPS OF TRANSFORMATIONS AND RELATIONS
• GENERATING THE FULL TRANSFORMATION SEMIGROUP USING ORDER PRESERVING MAPPINGS
• Congruences on infinite semigroups of transformations preserving a zig-zag order
• Generating Sets of Finite Transformation SemigroupsPK(n, r) andK(n, r)
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• Regularity of semigroups of transformations with restricted range preserving an alternating orientation order

This page was built for publication: Generating sets of an infinite semigroup of transformations preserving a zig-zag order