• Journal of the Korean Mathematical Society
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• v.34 no.4
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• pp.949-957
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• 1997

The purpose of this paper is to establish connection between certain complex of modules of generalized fractions and the concept of cosequence in commutative algebra. The main theorem of the paper leads to characterization, in terms of modules of generalized fractions, of regular (co) sequences.

• Bulletin of the Korean Mathematical Society
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• v.42 no.1
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• pp.87-92
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• 2005

Let A be a polynomial ring over a field and M a simple A-module. We generalize one result of Song about the description of the injective envelope $E_A$ (M) in terms of modules of generalized fractions.

• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.265-277
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• 1995

In [9], we gave a very explicit description of the injective envelope of an arbitray simple module over a polynomial ring $K[X_1, \ldots, X_n]$ over a field K in indeterminates $X_1, \ldots, X_n$. This paper presents another approach to give a description.

• Journal of the Korean Mathematical Society
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• v.33 no.4
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• pp.747-761
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• 1996

Thoughout this paper, R will be a commutative ring (with non-zero identity) and M will denote an R-module.

• 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.

• Bulletin of the Korean Mathematical Society
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• v.35 no.2
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• pp.363-374
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• 1998

We investigate relationships of E-depths and T-codepths of modules in s short exact exact sequence. We give E-depths and T-codepths of some modules.

• Honam Mathematical Journal
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• v.12 no.1
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• pp.61-82
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• 1990