• Korean Journal of Mathematics
• /
• v.27 no.2
• /
• pp.329-342
• /
• 2019

In this paper, we introduce the notion of L-fuzzy semi-prime ideals and the radical of L-fuzzy ideals in universal algebras and make a theoretical study on their basic properties.

• Journal for History of Mathematics
• /
• v.12 no.2
• /
• pp.151-158
• /
• 1999

In this paper, the concepts of semiprime $L$-fuzzy ideals and semiprimary $L$-fuzzy ideals of a $L$-fuzzy ring are introduced and some fundamental propositions proved. And we investigate the relation between fuzzy nil radical and semiprimary.

• 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.

• 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.