Fuzzy Derivations BCC-Ideals on BCC-Algebras
Pure and Applied Mathematics Journal
Volume 4, Issue 5, October 2015, Pages: 225-232
Received: Aug. 27, 2015; Accepted: Sep. 9, 2015; Published: Sep. 18, 2015
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Authors
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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Abstract
In the theory of rings, the properties of derivations are important. In [15], Jun and Xin applied the notion of derivations in ring and near-ring theory to BCI-algebras, and they also introduced a new concept called a regular derivation in BCI-algebras. They investigated some properties of its .In this manuscript, the concept of fuzzy left (right) derivations BCC-ideals in BCC-algebras is introduced and then investigate their basic properties. In connection with the notion of homomorphism, the authors study how the image and the pre-image of fuzzy left (right) derivations BCC-ideals under homomorphism of BCC-algebras become fuzzy left (right) derivations BCC-ideals. Furthermore, the Cartesian product of fuzzy left (right) derivations BCC-ideals in Cartesian product of BCC-algebras is introduced and investigated some related properties.
Keywords
BCC-Ideals, Fuzzy Left (Right)-Derivations, the Cartesian Product of Fuzzy Derivations
To cite this article
Samy M. Mostafa, Mostafa A. Hassan, Fuzzy Derivations BCC-Ideals on BCC-Algebras, Pure and Applied Mathematics Journal. Vol. 4, No. 5, 2015, pp. 225-232. doi: 10.11648/j.pamj.20150405.14
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