Combinatorial results for semigroups of orientation-preserving and order-decreasing transformations

DAĞDEVİREN A., AYIK G., AYIK H.

Semigroup Forum, vol.108, no.1, pp.43-55, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 108 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.1007/s00233-024-10413-1
  • Journal Name: Semigroup Forum
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.43-55
  • Keywords: Minimum generating sets, Nilpotent subsemigroups, Order-decreasing, Order-preserving, Orientation-preserving, Rank
  • Çukurova University Affiliated: Yes

Abstract

Let OPDn be the semigroup consisting of all orientation-preserving and order-decreasing full transformations on the finite chain Xn={1<⋯