University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 13 2 2024 12 01 Some results on ideals via homomorphisms in BL-algebras 167 181 3546 10.22098/jhs.2024.15998.1050 EN Fateme Alinaghian Department of Mathematics, Shahrekord Branch, Islamic Azad University Shahrekord, Iran Farhad Khaksar Haghani Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran. Shahram Heidarian Department of Mathematics, Shahrekord Branch, Islamic Azad University Shahrekord, Iran Journal Article 2024 10 12 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. BL-algebra primary ideal obstinate ideal σ-ideal σ-primary-ideal σ-invariant ideal https://jhs.uma.ac.ir/article_3546_f7b7ea096ba610e1ad99207dfa52f71b.pdf