Abstract

ON SOME RESTRICTION SEMIGROUPS EMBEDDED IN PARTIAL TRANSFORMATION??I?_X

1 ABUBAKAR, R. B. &2 Asibong-Ibe, U. E.

---

Abstract Restriction semigroups have been studied over the years under different context and under varied range of names, the last preceding it being weakly E-ample semigroups. Restriction semigroups are generalisation of inverse semigroups. They are semigroups with an additional unary operation+ (left restriction) and*(right restriction). Restriction semigroups arise very naturally from partial transformation in much as the same way that inverse semigroups arise from symmetric inverse monoids. In this study, we generate some restriction semigroups under the partial transformation set??I?_X together with their semilattices of idempotents and partial identities E_X. Key words: Restriction semigroups, partial transformation, idempotents, partial identities

PDF