On nilpotent subsemigroups of the order-preserving and decreasing transformation semigroups

YAĞCI M., Korkmaz E.

SEMIGROUP FORUM, cilt.101, sa.2, ss.486-496, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00233-020-10098-2
  • Dergi Adı: SEMIGROUP FORUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.486-496
  • Anahtar Kelimeler: Order-preserving, decreasing transformation, Minimum generating set, Rank, Nilpotent subsemigroup
  • Çukurova Üniversitesi Adresli: Evet

Özet

Let C-n be the semigroup of all order-preserving and decreasing transformations on X-n = {1, ... , n} under its natural order, and let N(C-n) be the subsemigroup of all nilpotent elements of C n. In this paper we determine the minimum generating set of N(C-n), and so the rank of N(C-n). Moreover, we investigate the nilpotent subsemigroups of C-n.