Some Structural Properties of Fully UP-semigroups

Dianne Panoy Gomisong, Rowena Timonera Isla

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.

Keywords

UP-algebra, $f$-UP-semigroup, $f$-UP-field, $f$-UP-domain, $f$-UP-ideal, Quotient $f$-UP-semigroup

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