Some Structural Properties of Fully UP-semigroups

Authors

  • Dianne Panoy Gomisong Mindanao State University-Iligan Institute of Technology
  • Rowena Timonera Isla Mindanao State University-Iligan Institute of Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3527

Keywords:

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

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.

Author Biographies

  • Dianne Panoy Gomisong, Mindanao State University-Iligan Institute of Technology

    Department of Mathematics and Statistics 

    Lecturer

  • Rowena Timonera Isla, Mindanao State University-Iligan Institute of Technology

    Department of Mathematics and Statistics 

    Professor

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Published

2019-10-31

Issue

Vol. 12 No. 4: (October 2019)

Section

Nonlinear Analysis

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How to Cite

Some Structural Properties of Fully UP-semigroups. (2019). European Journal of Pure and Applied Mathematics, 12(4), 1483-1496. https://doi.org/10.29020/nybg.ejpam.v12i4.3527