Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups

KORKMAZ E., AYIK H.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.4, ss.1626-1634, 2021 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2008-19
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1626-1634
  • Anahtar Kelimeler: Order-preserving and decreasing transformation, nilpotent subsemigroups, m-potent element, generating set, rank
  • Çukurova Üniversitesi Adresli: Evet

Özet

Let C-n be the semigroup of all order-preserving and decreasing transformations on X = {1, ..., n} under its natural order, and let N(C-n) be the subsemigroup of all nilpotent elements of C-n. For 1 <= r <= n - 1, let