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