Fuzzy derivations KU-ideals on KU-algebras
Samy M.Mostafa, Ahmed Abd-eldayem
TL;DR
This paper introduces fuzzy derivation KU-ideals in KU-algebras, exploring their properties, images, and pre-images under homomorphisms, and establishing foundational theorems for their structure.
Contribution
It presents the novel concept of fuzzy derivation KU-ideals in KU-algebras and analyzes their behavior under algebra homomorphisms.
Findings
Fuzzy left and right derivation KU-ideals are well-defined in KU-algebras.
Images and pre-images of these ideals under homomorphisms are also fuzzy derivation KU-ideals.
Theorems establish the preservation of these ideals under algebraic mappings.
Abstract
In this manuscript, we introduce a new concept, which is called fuzzy left (right) derivations KU- ideals in KU-algebras. We state and prove some theorems about fundamental properties of it. Moreover, we give the concepts of the image and the pre-image of fuzzy left (right) derivations KU-ideals under homomorphism of KU- algebras and investigated some its properties. Further, we have proved that every the image and the pre-image of fuzzy left (right) derivations KU-ideals under homomorphism of KU- algebras are fuzzy left (right) derivations KU-ideals
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Topics in Algebra · Rings, Modules, and Algebras