• Korean Journal of Mathematics
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• v.10 no.2
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• pp.149-155
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• 2002

We develop some basic properties of $t$-fuzzy ideals in a monoid or a group and find the sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy subring and the necessary and sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy ideal.

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

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

• Communications of the Korean Mathematical Society
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• v.10 no.4
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• pp.815-821
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• 1995

We introduce the concept of weakly positive implicative ideals in BCI-algebras and give some characterization of weakly positive implicative BCI-algebras and weakly positive implicative ideals.

• Communications of the Korean Mathematical Society
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• v.27 no.3
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• pp.465-475
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• 2012

We characterize the fuzzy ideal generated by a fuzzy subset in a semigroup and the fuzzy interior ideal generated by a fuzzy subset in a semigroup. Our work generalizes the characterizations ([8]) of those fuzzy ideals generated by fuzzy subsets in semigroups with an identity element.

• Korean Journal of Mathematics
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• v.7 no.1
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• pp.111-116
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• 1999

In this paper, we introduce the concepts of quasi retract ideals and quasi retract topological semigroups which are weaker than those of retract ideals and retract topological semigroups, respectively. We prove that every $n$-th power ideal of a commutative power cancellative power ideal topological semigroup is a quasiretract ideal.

• Korean Journal of Mathematics
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• v.19 no.3
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• pp.321-330
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• 2011

We characterize the fuzzy bi-ideal generated by a fuzzy subset in a semigroup and the fuzzy bi-ideal generated by a fuzzy subset A such that $A{\subseteq}A^2$ in a semigroup with an identity element. Our work generalizes the characterization of fuzzy bi-ideals by Mo and Wang ([8]).

• Communications of the Korean Mathematical Society
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• v.21 no.4
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• pp.653-664
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• 2006

As a generalization of ideals in subtraction algebras, the notion of rough ideals is discussed.

• Communications of the Korean Mathematical Society
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• v.11 no.3
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• pp.539-546
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• 1996

The purpose of this paper is to show that the Noetherian semi-local property of the underlying ring enables us to develope a setisfactory concep of the theory of reduction of ideals in a commutative Noetherian ring.

• Communications of the Korean Mathematical Society
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• v.11 no.3
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• pp.563-568
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• 1996

In this paper we study the ramification of prime ideals in the dihedral octic extension N over Q and estimate the possible discriminants of the octic number field N.

• Honam Mathematical Journal
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• v.34 no.2
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• pp.171-181
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• 2012

The notion of implicative vague ideals of BCK-algebras is defined, and several properties of it are investigated. Relations between a vague ideal and an implicative vague ideal is discussed. Characterizations of an implicative vague ideal are considered.