Some Structural Properties of Fully UP-semigroups

Autor: Rowena T. Isla, Dianne Panoy Gomisong
Rok vydání: 2019
Předmět:
Zdroj: European Journal of Pure and Applied Mathematics. 12:1483-1496
ISSN: 1307-5543
DOI: 10.29020/nybg.ejpam.v12i4.3527
Popis: 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.
Databáze: OpenAIRE