Some results on ideals via homomorphisms in BL-algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, Shahrekord Branch, Islamic Azad University Shahrekord, Iran

2 Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

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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References

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Journal of Hyperstructures
Volume 13, Issue 2
December 2024
Pages 167-181

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