Some Structural Properties of Fully UP-semigroups

Abstract

This paper investigates a new class of algebra related to UP-algebras and semigroups called fully UP-semigroups (or f -UP-semigroups). It establishes some structural properties of f -UP-semigroups. It also introduces and examines f -UP-fields, f -UP-domains, f -UP-ideals, and quotient f -UP-semigroups. Moreover, it investigates the relationship between an f -UP-field and an f -UP-domain. 2010 Mathematics Subject Classifications: 03G25, 08A99

A note on UP-hyperalgebras

“…Ansari et al [1,2] introduced the concept of graphs associated with commutative UP-algebras and the concept of roughness in UP-algebras. Gomisong and Isla [7] established some structural properties of f -UP-semigroups. Satirad and Iampan [19] introduced the concept of topological UP-algebras and several types of subsets of topological UP-algebras.…”