Strongly Gorenstein projective, injective, and flat modules
Strongly Gorenstein projective, injective, and flat modules
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DOI：
10.1016/j.jpaa.2006.10.010
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发表时间：
2006-06
影响因子：
0.8
通讯作者：
N. Mahdou;M. Tamekkante
中科院分区：
文献类型：
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作者：
N. Mahdou;M. Tamekkante
本文研究了Gorenstein投射模、内射模和平坦模的一种特殊情况，我们分别称之为强Gorenstein投射模、内射模和平坦模。这最后三类模给出了第一个模的一个新的刻画，并证实了“Gorenstein投射、内射和平坦模”的概念与通常的“投射、内射和平坦模”的概念之间有相似之处。
In this paper, we study a particular case of Gorenstein projective, injective, and flat modules, which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These last three classes of modules give us a new characterization of the first modules, and confirm that there is an analogy between the notion of “Gorenstein projective, injective, and flat modules” and the notion of the usual “projective, injective, and flat modules”.