Soft Intersection Almost Bi-ideals of Semigroups

Aslıhan SEZGİN; Beyza Onur

doi:10.31181/sa21202415

Authors

Aslıhan SEZGİN Amasya University Author
Beyza Onur Amasya University Author

DOI:

https://doi.org/10.31181/sa21202415

Keywords:

Soft set, semigroup, bi-ideal, soft intersection bi-ideal, soft intersection almost bi-ideal

Abstract

Soft intersection bi-ideal is a generalization of soft intersection quasi-ideals; and soft intersection quasi-ideal is a generalization of soft intersection left (right) ideal. In this study, as a generalization of nonnull soft intersection bi-ideals of semigroups, we introduced the concept of soft intersection almost bi-ideals and studied its basic properties in detail. By obtaining that if a nonempty set is almost bi-ideal, then its soft characteristic function is soft intersection almost bi-ideal and vice versa, we acquire many interesting relationships between almost bi-ideals and soft intersection almost bi-ideals concerning minimality, primeness, semiprimeness, and strongly primeness.

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