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