• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.1
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• pp.112-117
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• 2007

The aim of this paper is to characterise regular duo ring R by using the concept of intuitionistic fuzzy left(right,hi,quasi) ideals of R.

• Honam Mathematical Journal
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• v.33 no.2
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• pp.271-277
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• 2011

The notion of n-fold strong ideal in BH-algebra is introduced and some related properties of it are investigated. The role of initial segments in BH-algebras is described.

• Bulletin of the Korean Mathematical Society
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• v.47 no.5
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• pp.883-888
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• 2010

In this paper, we introduce the concepts of Armendariz ideals and abelian ideals and record some results involving them.

• Journal for History of Mathematics
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• v.12 no.2
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• pp.151-158
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• 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 Chungcheong Mathematical Society
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• v.7 no.1
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• pp.87-95
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• 1994

Relationships between the prime ideals of a ring R and of a normalizing extension S have been studied by several authors. Relationships between the prime ideals of a ring R and of an intermediate normalizing extension T also have studied by several authors where $R{\subset}T{\subset}S$. In this note, some relationships between prime ideals of T and S are studied.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.1
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• pp.17-27
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• 2013

The notions of the extensions of bipolar fuzzy ideals, bipolar fuzzy prime ideals and bipolar fuzzy commutative ideals in BCK-algebras are introduced, and several properties are investigated.

• Honam Mathematical Journal
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• v.27 no.3
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• pp.333-341
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• 2005

A characterization of prime ideals is discussed. A relation between prime ideals and ideals of the form $A_w^{\wedge}$ is given. The prime ideal theorem is established. The notion of annihilators is introduced, and basic properties are investigated.

• The Pure and Applied Mathematics
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• v.4 no.2
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• pp.131-135
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• 1997

We give the relation between the semilattice congruence N and the set of prime ideals of the ordered $\Gamma$-semigroup M.

• Journal of applied mathematics & informatics
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• v.27 no.1_2
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• pp.217-231
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• 2009

The notion of *-medial pseudo BCI-algebras is introduced, and its characterization is discussed. The concepts of associative pseudo ideals (resp. pseudo p-ideals, pseudo q-ideals and pseudo a-ideals) are introduced, and related properties are investigated. Conditions for a pseudo ideal to be a pseudo p-ideal (resp. pseudo q-ideal) are provided. A characterization of an associative pseudo ideal is given. We finally show that every pseudo BCI-homomorphic image and preimage of an associative pseudo ideal (resp. a pseudo p-ideal, a pseudo q-ideal and a pseudo a-ideal) is also an associative pseudo ideal (resp. a pseudo p-ideal, a pseudo q-ideal and a pseudo a-ideal).

• Korean Journal of Mathematics
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• v.22 no.2
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• pp.367-381
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• 2014

The notion of ${\Gamma}$-semigroups was introduced by Sen in 1981 and that of fuzzy sets by Zadeh in 1965. Any semigroup can be reduced to a ${\Gamma}$-semigroup but a ${\Gamma}$-semigroup does not necessarily reduce to a semigroup. In this paper, we study the coincidences of fuzzy generalized bi-ideals, fuzzy bi-ideals, fuzzy interior ideals and fuzzy ideals in regular, left regular, right regular, intra-regular, semisimple ordered ${\Gamma}$-semigroups.