Subject: QA Mathematics
Year: 2024
Type: Article
Type: NonPeerReviewed
Title: SOFT INTERSECTION ALMOST WEAK-INTERIOR IDEALS OF SEMIGROUPS: A THEORETICAL STUDY
Author: SEZGİN, Aslıhan
Author: İLGİN, Aleyna
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.
Publisher: Faculty of Natural Sciences and Mathematics, Republic of North Macedonia
Relation: https://eprints.unite.edu.mk/1967/
Identifier: oai:eprints.unite.edu.mk:1967
Identifier: https://eprints.unite.edu.mk/1967/1/revista%20-%202024-372-385.pdfIdentifier: SEZGİN, Aslıhan and İLGİN, Aleyna (2024) SOFT INTERSECTION ALMOST WEAK-INTERIOR IDEALS OF SEMIGROUPS: A THEORETICAL STUDY. JNSM Journal of Natural Sciences and Mathematics of UT, 9 (17-18). pp. 372-385. ISSN 2671-3039
