SOME REGULAR ELEMENTS, IDEMPOTENTS AND RIGHT UNITS OF COMPLETE SEMIGROUPS OF BINARY RELATIONS DEFINED BY SEMILATTICES OF THE CLASS LOWER INCOMPLETE NETS
Yasha Diasamidze, Ali Erdoğan, NEŞET AYDIN · International Journal of Pure and Apllied Mathematics · 2014
In this paper, we investigate such a regular elements α and idempotents of the complete semigroup of binary relations B X (D) defined by semilattices of the class lower incomplete nets, for which V (D, α) = Q.Also we investigate right units of the semigroup B X (Q).For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of regular elements, idempotents and right units of the respective semigroup.