Soft-int Almost Interior Ideals for Semigroups

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Aslıhan Sezgin
Zeynep Hare BAŞ

Abstract

Just as the concept of interior ideal of semigroups is a generalization of ideal in semigroups, the notion of soft intersection (soft-int) interior ideal is a generalization of soft-int ideal. In this paper, we propose the concepts of soft-int (weakly) almost interior ideal of a semigroup as a generalization of the nonnull soft-int  interior ideals. We explore their algebraic properties in detail. We also show that an idempotent soft-int almost interior ideal is a soft-int almost subsemigroup. We additionally derive several intriguing relations related to semiprimeness, minimality, and (strongly) primeness between almost interior ideals and soft-int  almost interior ideals.

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How to Cite
Sezgin, A., & BAŞ, Z. H. (2024). Soft-int Almost Interior Ideals for Semigroups. Information Sciences With Applications, 4, 25-36. https://doi.org/10.61356/j.iswa.2024.4374
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Original Articles

How to Cite

Sezgin, A., & BAŞ, Z. H. (2024). Soft-int Almost Interior Ideals for Semigroups. Information Sciences With Applications, 4, 25-36. https://doi.org/10.61356/j.iswa.2024.4374

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