GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
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DOI：
10.1142/s0219498808002953
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发表时间：
2008-08
影响因子：
0.8
通讯作者：
L. Mao;Nanqing Ding
中科院分区：
文献类型：
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作者：
L. Mao;Nanqing Ding
本文介绍并研究了Gorenstein fp -内射模。如果存在M = ker（E0→E1）的内射r模的精确序列⋯→E1→E0→E0→E1→⋯且当E是fp -内射r模时，hm （E, -）使序列精确，则r模M称为Gorenstein fp -内射。得到了相干环上的Gorenstein fp -内射模和Gorenstein平面模的一些性质。推广了几个已知的结果。
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M is called Gorenstein FP-injective if there is an exact sequence ⋯ → E1 → E0 → E0 → E1 → ⋯ of injective R-modules with M = ker(E0 → E1) and such that Hom(E, -) leaves the sequence exact whenever E is an FP-injective R-module. Some properties of Gorenstein FP-injective and Gorenstein flat modules over coherent rings are obtained. Several known results are extended.