Geodesic
On torsion Gorenstein injective modules
Archivum mathematicum, Tome 34 (1998) no. 4, pp. 445-454 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, we define Gorenstein injective rings, Gorenstein injective modules and their envelopes. The main topic of this paper is to show that if $D$ is a Gorenstein integral domain and $M$ is a left $D$-module, then the torsion submodule $tGM$ of Gorenstein injective envelope $GM$ of $M$ is also Gorenstein injective. We can also show that if $M$ is a torsion $D$-module of a Gorenstein injective integral domain $D$, then the Gorenstein injective envelope $GM$ of $M$ is torsion.
In this paper, we define Gorenstein injective rings, Gorenstein injective modules and their envelopes. The main topic of this paper is to show that if $D$ is a Gorenstein integral domain and $M$ is a left $D$-module, then the torsion submodule $tGM$ of Gorenstein injective envelope $GM$ of $M$ is also Gorenstein injective. We can also show that if $M$ is a torsion $D$-module of a Gorenstein injective integral domain $D$, then the Gorenstein injective envelope $GM$ of $M$ is torsion.
Classification : 13C11, 13C12, 13H10, 16D50
Keywords: Nilpotent; Gorenstein Injective Modules 
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     author = {Yi, Okyeon},
     title = {On torsion {Gorenstein} injective modules},
     journal = {Archivum mathematicum},
     pages = {445--454},
     year = {1998},
     volume = {34},
     number = {4},
     mrnumber = {1679639},
     zbl = {0972.16001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998_34_4_a3/}
}
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%J Archivum mathematicum
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Yi, Okyeon. On torsion Gorenstein injective modules. Archivum mathematicum, Tome 34 (1998) no. 4, pp. 445-454. http://geodesic.mathdoc.fr/item/ARM_1998_34_4_a3/

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