Gorenstein hereditary rings with respect to a semidualizing module
نویسندگان
چکیده مقاله:
Let $C$ be a semidualizing module. We first investigate the properties of finitely generated $G_C$-projective modules. Then, relative to $C$, we introduce and study the rings over which every submodule of a projective (flat) module is $G_C$-projective (flat), which we call $C$-Gorenstein (semi)hereditary rings. It is proved that every $C$-Gorenstein hereditary ring is both coherent and $C$-Gorenstein semihereditary.
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عنوان ژورنال
دوره 43 شماره 6
صفحات 1671- 1677
تاریخ انتشار 2017-11-30
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