SOFT INTERSECTION ALMOST WEAK-INTERIOR IDEALS OF SEMIGROUPS: A THEORETICAL STUDY

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

Text revista - 2024-372-385.pdf Download (710kB)

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.

Item Type:	Article
Uncontrolled Keywords:	Soft set, semigroup, (almost) weak-interior ideals, soft intersection (almost) weak-interior ideals
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	26 Dec 2024 13:29
Last Modified:	26 Dec 2024 13:29
URI:	http://eprints.unite.edu.mk/id/eprint/1967

Actions (login required)

View Item