SOFT INTERSECTION ALMOST WEAK-INTERIOR IDEALS OF SEMIGROUPS: A THEORETICAL STUDY
Aslıhan SEZGİN, Aleyna İLGİN
Abstract
This study aims to introduce the concept of soft intersection almost weak-interior ideals of a semigroup, which extends the notion of nonnull soft intersection weak-interior ideals of a semigroup. We explore the properties of the ideal in depth. We show that soft intersection almost ideal and soft intersection almost weak-interior ideal coincide with each other when the soft set is idempotent and we also illustrate that an idempotent soft almost weak-interior ideal is a soft intersection almost subsemigroup. We also establish significant connections between almost weak-interior ideals and soft intersection weak-interior ideals of a semigroup concerning minimality, primeness, semiprimeness, and strong primeness.
Pages:
372 - 385