• Journal of the Korean Institute of Intelligent Systems
• /
• v.17 no.3
• /
• pp.423-429
• /
• 2007

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.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.20 no.5
• /
• pp.734-740
• /
• 2010

We define and study the fuzzy nil radical of a fuzzy ideal of a commutative $\kappa$-semiring.

• Korean Journal of Mathematics
• /
• v.8 no.2
• /
• pp.147-154
• /
• 2000

In this paper, with the notion of fuzzy ${\kappa}$-ideals of semirings, we discuss and review several results described in [4].