Presentations for subsemigroups of PDn

Abdullahi Umar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Let [n] = {1,…, n} be an n-chain. We give presentations for the following transformation semigroups: the semigroup of full order-decreasing mappings of [n], the semigroup of partial one-to-one order-decreasing mappings of [n], the semigroup of full order-preserving and order-decreasing mappings of [n], the semigroup of partial one-to-one order-preserving and order-decreasing mappings of [n], and the semigroup of partial order-preserving and order-decreasing mappings of [n].

Original languageEnglish
Pages (from-to)417-426
Number of pages10
JournalCzechoslovak Mathematical Journal
Volume69
Issue number2
DOIs
Publication statusPublished - Jun 1 2019
Externally publishedYes

Keywords

  • order-decreasing mapping
  • order-preserving mapping
  • presentation
  • transformation semigroups

ASJC Scopus subject areas

  • Mathematics(all)

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