On Fuzzy Ideals of Seminearrings

Rao, Venu Gopala P and Murty, Venkataramana N and Kuncham, Syam Prasad (2011) On Fuzzy Ideals of Seminearrings. Advances in Fuzzy Sets and Systems, 10 (2). pp. 87-94.

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We consider an algebraic system seminearring, which is a generalization of both a semiring and a nearring. We define concepts of s-k-ideal of a seminearring and its fuzzy s-k-ideal as well. For a given s-ideal (resp. s-k-ideal) of a seminearring, the existence of its fuzzy s-ideal (resp. fuzzy s-k-ideal) is obtained. Further, we prove that inverse homomorphic image of a fuzzy s-k-ideal is again a fuzzy s-k-ideal, and a homomorphic image of fuzzy s-k-ideal is again a fuzzy s-k-ideal under invariant epimorphism.

Item Type: Article
Additional Information: © 2011 Pushpa Publishing House
Uncontrolled Keywords: seminearring, s-ideal, homomorphism
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 18 Feb 2013 11:11
Last Modified: 19 Feb 2013 05:17
URI: http://eprints.manipal.edu/id/eprint/78564

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