• Journal of the Chungcheong Mathematical Society
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• v.9 no.1
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• pp.17-25
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• 1996

We study the relationship between a property of a triangular subset and coassociated prime ideals of the module of generalized fractions induced by the triangular subset, and investigate coassociated prime ideals of modules of generalized fractions defined by some special triangular subsets.

• Honam Mathematical Journal
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• v.31 no.3
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• pp.429-436
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• 2009

In this short paper, we prove some new properties on homogeneous ideals and primary ideals of R(+)M.

• Bulletin of the Korean Mathematical Society
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• v.40 no.3
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• pp.531-536
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• 2003

We discuss the roughness of $\Gamma$-subsemigroups and ideals/bi-ideals in $\Gamma$-semigroups.

• Honam Mathematical Journal
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• v.32 no.2
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• pp.203-215
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• 2010

The notion of strong ideal in BH-algebra is introduced and investigated some properties of it. Rough sets and rough strong ideals in BH-algebras are established and some related their properties are discussed.

• Korean Journal of Mathematics
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• v.13 no.1
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• pp.13-18
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• 2005

Recently, Kehayopulu and Tsingelis studied for prime ideals of groupoids-ordered groupoids. In this paper, we give some results on prime left(right) ideals of groupoid-ordered groupoid. These results are generalizations of their results.

• Communications of the Korean Mathematical Society
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• v.10 no.4
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• pp.783-787
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• 1995

In this paper we characterize cancellation ideals in terms of multiplication ideals. Especially, we find a condition for an ideal generated by three elements to be a cancellation ideal.

• Bulletin of the Korean Mathematical Society
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• v.47 no.6
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• pp.1121-1129
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• 2010

In the present paper, we extend some well known results concerning derivations of prime rings to generalized derivations for ($\sigma,\tau$)-Lie ideals.

• Bulletin of the Korean Mathematical Society
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• v.46 no.5
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• pp.873-884
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• 2009

We characterize QB-ideals of exchange rings by means of quasi-invertible elements and annihilators. Further, we prove that every $2\times2$ matrix over such ideals of a regular ring admits a diagonal reduction by quasi-inverse matrices. Prime exchange QB-rings are studied as well.

• Communications of the Korean Mathematical Society
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• v.13 no.2
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• pp.251-256
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• 1998

We introduce the concept of weakly prime ideals in po-$\Gamma$-semigroup and give some characterizations of weakly prime ideals.

• Journal of the Chungcheong Mathematical Society
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• v.18 no.1
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• pp.87-93
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• 2005

For a left R-module M, we identify certain submodules of M that play a role analogous to that of ideals in the ring R. We investigate some properties of M-ideals in the submodules of M and also study Jacobson radicals of a submodule of M.