The qualities of derivations are significant in ring theory. Jun and Xin [1] extended the concept of derivations from ring and near-ring theory to BCI-algebras and established a new concept known as a regular derivation in BCI-algebras. They looked into some of its characteristics. Y. Komori [2] established the BCC-algebra as a significant class of logical algebras. The concept of fuzzy left (right) derivations BCC-ideals in BCC-algebras is presented in this work, and their basic features are investigated. The authors investigate how the image and pre-image of fuzzy left (right) derivations BCC-ideals under homomorphism of BCC-algebras become fuzzy left (right) derivations BCC-ideals in relation to the concept of homomorphism. The Cartesian product of fuzzy left (right) derivations BCC-ideals in Cartesian product of BCC-algebras is also introduced, with some associated characteristics examined.
Author(S) Details
Samy M. Mostafa
Department of mathematics, Faculty of Education, Ain Shams University Roxy, Cairo, Egypt.
Mostafa A. Hassan
Department of mathematics, Faculty of Education, Ain Shams University Roxy, Cairo, Egypt.
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