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

YAĞCI M. , Korkmaz E.

SEMIGROUP FORUM, 2020 (SCI İndekslerine Giren Dergi) identifier identifier


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.