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Fuzzy annihilator ideals of \(C\)-algebra - MaRDI portal

Fuzzy annihilator ideals of \(C\)-algebra (Q2092721)

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scientific article; zbMATH DE number 7611752
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Fuzzy annihilator ideals of \(C\)-algebra
scientific article; zbMATH DE number 7611752

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    Fuzzy annihilator ideals of \(C\)-algebra (English)
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    3 November 2022
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    Summary: In this paper, we introduce the concept of relative fuzzy annihilator ideals in \(C\)-algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of \(C\)-algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a complete Boolean algebra. Moreover, we study the concept of fuzzy annihilator preserving homomorphism. We provide a sufficient condition for a homomorphism to be a fuzzy annihilator preserving.
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