Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups

DOI10.3906/mat-2008-19zbMath1496.20111OpenAlexW3190463135MaRDI QIDQ5101829

Hayrullah Ayık, Emrah Korkmaz

Publication date: 30 August 2022

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

Full work available at URL: https://doi.org/10.3906/mat-2008-19

zbMATH Keywords

rankgenerating setnilpotent subsemigroups\(m\)-potent elementorder-preserving and decreasing transformation

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (4)

Abundance of the ideals of the order-preserving and decreasing full transformation semigroup ⋮ Combinatorial results for semigroups of orientation-preserving and order-decreasing transformations ⋮ On nilpotent subsemigroups of the order-decreasing transformation semigroups ⋮ Isolated subsemigroups of order-preserving and decreasing transformation semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• The ranks of certain semigroups of partial isometries
• On certain finite semigroups of order-decreasing transformations. I.
• Classical finite transformation semigroups. An introduction.
• Regularity conditions on order-preserving transformation semigroups.
• On elements of finite semigroups of order-preserving and decreasing transformations
• On nilpotent subsemigroups of the order-preserving and decreasing transformation semigroups
• Combinatorial results for semigroups of order-preserving and \(A\)-decreasing finite transformations
• Combinatorial results for semigroups of order-preserving full transformations.
• On the Semigroup of Partial Isometries of a Finite Chain
• GENERATING SETS OF STRICTLY ORDER-PRESERVING TRANSFORMATION SEMIGROUPS ON A FINITE SET
• Fibonacci and Catalan Numbers
• The structure of elements in finite full transformation semigroups
• Combinatorial results for semigroups of order-preserving mappings

This page was built for publication: Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups