Geodesic
Strongly $\mathcal {W}$-Gorenstein modules
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 2, pp. 441-449 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $\mathcal {W}$ be a self-orthogonal class of left $R$-modules. We introduce a class of modules, which is called strongly $\mathcal {W}$-Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly $\mathcal {W}$-Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly $\mathcal {W}$-Gorenstein module can be inherited by its submodules and quotient modules. As applications, many known results are generalized.
Let $\mathcal {W}$ be a self-orthogonal class of left $R$-modules. We introduce a class of modules, which is called strongly $\mathcal {W}$-Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly $\mathcal {W}$-Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly $\mathcal {W}$-Gorenstein module can be inherited by its submodules and quotient modules. As applications, many known results are generalized.
DOI : 10.1007/s10587-013-0028-y
Classification : 16D40, 16D50, 16E05, 16E65, 18G20, 18G25
Keywords: self-orthogonal class; strongly $\mathcal {W}$-Gorenstein module; $\mathcal {C}$-resolution 
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     author = {Qiao, Husheng and Xie, Zongyang},
     title = {Strongly $\mathcal {W}${-Gorenstein} modules},
     journal = {Czechoslovak Mathematical Journal},
     pages = {441--449},
     year = {2013},
     volume = {63},
     number = {2},
     doi = {10.1007/s10587-013-0028-y},
     mrnumber = {3073969},
     zbl = {06236422},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-013-0028-y/}
}
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Qiao, Husheng; Xie, Zongyang. Strongly $\mathcal {W}$-Gorenstein modules. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 2, pp. 441-449. doi: 10.1007/s10587-013-0028-y

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