Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly *-extensions of monoids


OĞUZ ÜNAL S., Karpuz B. G.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.8, no.4, 2015 (ESCI) identifier

Abstract

In this paper, we determine necessary and sufficient conditions for Bruck-Reilly and generalized Bruck-Reilly *-extensions of monoids to be unit regular, completely regular and orthodox. In addition, we characterize the congruences on generalized Bruck-Reilly *-extension of a monoid.