Geodesic
A note on generalized Gorenstein dimension
Lobachevskii journal of mathematics, Tome 26 (2007), pp. 69-77.

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We prove that two categories $\mathcal G_\omega$ and $\mathcal X_\omega$, introduced for the faithfully balanced selforthogonal module $\omega$ by Auslander and Reiten in [2] and [3] respectively, coincide with each other. As an application we give a generalization of a main theorem in [6]. 
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     author = {J. Wei},
     title = {A note on generalized {Gorenstein} dimension},
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J. Wei. A note on generalized Gorenstein dimension. Lobachevskii journal of mathematics, Tome 26 (2007), pp. 69-77. http://geodesic.mathdoc.fr/item/LJM_2007_26_a7/

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[2] Auslander M. and Reiten I., “Cohen-Macaulay algebras and Gorenstein algebras”, Progress in Math., 95 (1991), 221–245 | MR | Zbl

[3] Auslander M. and Reiten I., “Applications of contravariantly finite subcategories”, Adv. Math., 86 (1991), 111–152 | DOI | MR | Zbl

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[8] Wakamatsu T., “On modules with trivial self-extensions”, J. Alg., 114 (1988), 106–114 | DOI | MR | Zbl

[9] Wakamatsu T., “Stable equivalence of self-injective algebras and a generalization of tilting modules”, J. Alg., 134 (1990), 298–325 | DOI | MR | Zbl