Some results on ideals via homomorphisms in BL-algebras

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Alinaghian Fateme; Khaksar Haghani Farhad; Heidarian Shahram

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Journal Paper

Paper Information

Journal: Journal of Hyperstructures Year:2024 | Volume:13 | Issue:2 Page(s): 167-181

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Title

Some results on ideals via homomorphisms in BL-algebras

Author(s)

Alinaghian Fateme | Khaksar Haghani Farhad | Heidarian Shahram | Issue Writer Certificate

Keywords

BL-algebra

primary ideal

obstinate ideal

σ-ideal

σ-primary-ideal

σ-invariant ideal

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.

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