Fuzzy bipolar soft semiprime ideals in ordered semigroups

Aziz-Ul-Hakim; H Khan; I Ahmad; A Khan

doi:10.1016/j.heliyon.2021.e06618

Fuzzy bipolar soft semiprime ideals in ordered semigroups

Heliyon. 2021 Apr 9;7(4):e06618. doi: 10.1016/j.heliyon.2021.e06618. eCollection 2021 Apr.

Authors

Aziz-Ul-Hakim¹, H Khan¹, I Ahmad¹, A Khan²

Affiliations

¹ Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan.
² Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan.

Abstract

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.

Keywords: FB ideal; FBS left ideal; FBS prime ideal; FBS right ideal; FBS semiprime ideal; Ordered semigroup.