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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00233-020-10098-2
  • Dergi Adı: SEMIGROUP FORUM
  • Sayfa Sayıları: ss.486-496

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.