REGULARITY AND GREEN'S RELATIONS ON SEMIGROUPS OF TRANSFORMATION PRESERVING ORDER AND COMPRESSION

Ping Zhao, Mei Yang
2012 Bulletin of the Korean Mathematical Society  
Let [n] = {1, 2, . . . , n}, and let P On be the partial orderpreserving transformation semigroup on [n]. Let Then CP On is a subsemigroup of P On. In this paper, we characterize Green , s relations and the regularity of elements for CP On.
doi:10.4134/bkms.2012.49.5.1015 fatcat:lpdzzroisjbbrgmkbw5rfjhgia