Fuzzy bipolar soft semiprime ideals in ordered semigroups

Aziz-ul-Hakim; H. Khan; I. Ahmad; A. Khan

Heliyon (Apr 2021)

Fuzzy bipolar soft semiprime ideals in ordered semigroups

Aziz-ul-Hakim,
H. Khan,
I. Ahmad,
A. Khan

Affiliations

Aziz-ul-Hakim: Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan
H. Khan: Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan
I. Ahmad: Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan; Corresponding author.
A. Khan: Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan

Journal volume & issue: Vol. 7, no. 4
p. e06618

Abstract

Read online

In this paper, we introduce fuzzy bipolar soft semiprimality in the structure of ordered semigroups and investigate some properties of the concept. Moreover, ordered semigroups and their some classes are characterized by means of fuzzy bipolar soft semiprimality. Finally, the Cartesian product of fuzzy bipolar soft semiprime (resp., prime) ideals over ordered semigroups is examined. Some of the ideas are supported by apt examples.

Published in Heliyon

ISSN: 2405-8440 (Online)
Publisher: Elsevier
Country of publisher: United Kingdom
LCC subjects: Science: Science (General); Social Sciences: Social sciences (General)
Website: https://www.cell.com/heliyon/home

About the journal

Abstract

Keywords