Zhao, P. and Yang, M. (2012) Regularity and Green’s Relations on Semigroups of Transformations Preserving Order and Compression. Bulletin of the Korean Mathematical Society, 49, 1015-1025.
https://doi.org/10.4134/BKMS.2012.49.5.1015

has been cited by the following article:

• TITLE: On the Number of Idempotent Partial Contraction Mappings of a Finite Chain

  AUTHORS: Oladapo Adekunle Ojo, Fatma Salim Ali Al-Kharousi, Abdullahi Umar

  KEYWORDS: Height, Right (Left) Waist and Fix of a Transformation, Idempotents

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.11 No.3, July 13, 2021

  ABSTRACT: Let be the partial symmetric semigroup on and let and be its subsemigroups of order-preserving contractions and order-preserving, order-decreasing contractions mappings of , respectively. In this paper we investigate the cardinalities of and , the set idempotents of and , respectively. We also investigate the cardinalities of certain equivalences on and .