Some results on ideals via homomorphisms in BL-algebras

In this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ideals and obstinate ideals. Finally, by introducing σ-prime, σ-primaryand σ-invariant ideals, we derived some new results related to them.

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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2024-12-01
DOI
https://doi.org/10.22098/jhs.2024.15998.1050
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

Some results on ideals via homomorphisms in BL-algebras

SHILAP Revista de lepidopterología
Fuzzy and Soft Set Theory
article

Some results on ideals via homomorphisms in BL-algebras

article en

Abstract

In this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ideals and obstinate ideals. Finally, by introducing σ-prime, σ-primaryand σ-invariant ideals, we derived some new results related to them.

SHILAP Revista de lepidopterología
Islamic Azad University of Shahrekord (IR)
Openalex Percentile: Top 57%
Fuzzy and Soft Set Theory
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Some results on ideals via homomorphisms in BL-algebras · SHILAP Revista de lepidopterología (2024) | TGRS Research Map | TGRS