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http://dx.doi.org/10.5391/JKIIS.2007.17.3.423

The Fuzzy Jacobson Radical of a κ-Semiring  

Kim, Chang-Bum (Department of Mathematics, Kookmin University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.17, no.3, 2007 , pp. 423-429 More about this Journal
Abstract
We define and study the fuzzy Jacobson radical of a ${\kappa}$-semiring. Also it is shown that the Jacobson radical of the quotient semiring R/FJR(R) of a ${\kappa}$-semiring by the fuzzy Jacobson radical FJR(R) is semisimple. And the algebraic properties of the fuzzy ideals FJR(R) and FJR(S) under a homomorphism from R onto S are also discussed.
Keywords
${\kappa}$-semiring; ${\kappa}$-ideal; fuzzy ideal; fuzzy cosets of a fuzzy ideal; fuzzy maximal(semiprime, prime) ideal; quotient semiring; fuzzy Jacobson radical;
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