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http://dx.doi.org/10.14317/jami.2016.405

ON FUZZY k−IDEALS, k−FUZZY IDEALS AND FUZZY 2−PRIME IDEALS IN Γ−SEMIRINGS  

Murali Krishna Rao, M. (Department of Mathematics, GIT, GITAM Universtiy)
Venkateswarlu, B. (Department of Mathematics, GIT, GITAM Universtiy)
Publication Information
Journal of applied mathematics & informatics / v.34, no.5_6, 2016 , pp. 405-419 More about this Journal
Abstract
The notion of Γ-semiring was introduced by M. Murali Krishna Rao [8] as a generalization of Γ-ring as well as of semiring. In this paper fuzzy k-ideals, k-fuzzy ideals and fuzzy-2-prime ideals in Γ-semirings have been introduced and study the properties related to them. Let μ be a fuzzy k-ideal of Γ-semiring M with |Im(μ)| = 2 and μ(0) = 1. Then we establish that Mμ is a 2-prime ideal of Γ-semiring M if and only if μ is a fuzzy prime ideal of Γ-semiring M.
Keywords
Γ-semiring; fuzzy 2-prime ideal; k-fuzzy ideal; fuzzy k-ideal;
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Times Cited By KSCI : 1  (Citation Analysis)
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