A presentation for the semigroup of order-preserving full contraction mappings of a finite chain

TOKER K., AYIK H.

Communications in Algebra, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1080/00927872.2024.2405026
  • Dergi Adı: Communications in Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Contraction mapping, generating set, order-preserving, presentation, transformation
  • Çukurova Üniversitesi Adresli: Evet

Özet

For (Formula presented.), let (Formula presented.) be a finite chain and (Formula presented.) be the full transformation semigroup on Xn. If (Formula presented.) is the set of all order-preserving and full contraction mappings on Xn, then it is well-known that (Formula presented.) is a submonoid of (Formula presented.). In this paper we give a monoid presentation of (Formula presented.).