Some regular elements, idempotents and right units of complete semigroups of binary relations defined by semilattices of the class lower incomplete nets

Diasamidze, YashaErdoğan, AliAydin, Neşet2025-01-272025-01-2720141311-8080https://doi.org/10.12732/ijpam.v93i4.6https://hdl.handle.net/20.500.12428/12920In this paper, we investigate such a regular elements ? and idem-potents of the complete semigroup of binary relations BX(D) defined by semi-lattices of the class lower incomplete nets, for which V(D, ?) = Q. Also we investigate right units of the semigroup BX(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. © 2014 Academic Publications, Ltd.eninfo:eu-repo/semantics/openAccessBinary relation; Idempotents; Regular element; Right units; SemigroupsSome regular elements, idempotents and right units of complete semigroups of binary relations defined by semilattices of the class lower incomplete netsArticle93454956610.12732/ijpam.v93i4.62-s2.0-84903120316N/A