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http://dx.doi.org/10.5391/JKIIS.2004.14.1.088

Quotient semiring of a k-semiring by semiprimary k-fuzzy ideals  

Kim, Chang-Bum (Department of Mathematics, Kookmin University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.14, no.1, 2004 , pp. 88-92 More about this Journal
Abstract
In this paper, we define and study the semiprimary k-fuzzy ideals in a commutative k-semiring and characterize the quotient semiring R/A of a k-semiring R by a semiprimary k-fuzzy ideal A. In particular, we show that every zero divisor of R/A is nilpotent.
Keywords
k-semiring; Semiprimary k-fuzzy ideal; Factor semiring; Extension fuzzy ideal;
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