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

TOKER, KEMAL; AYIK, HAYRULLAH

doi:10.1080/00927872.2024.2405026

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

TOKER K., AYIK H.

Communications in Algebra, cilt.53, sa.3, ss.1257-1264, 2025 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 53 Sayı: 3
Basım Tarihi: 2025
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
Sayfa Sayıları: ss.1257-1264
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.).