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)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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