1) Gorenstein injective modules
Gorenstein内射模
1.
In order to research the structure and properties of modulcs overings and algebras,In this paper,by using homological methods we investigated the ralation between Gorenstein injective modules and Gorenstein flat modules,and gave a criteria theorem on Gorenstein flat modules.
为了研究环与代数上的模结构与性质,采用同调方法研究了Gorenstein内射模和Gorenstein平坦模之间的关系,给出了Gorenstein平坦模的判定定理。
2.
In this paper, we characerize n-Gorenstein rings in terms of Gorenstein injective modules.
用 Gorenstein内射模刻画了 n-Gorenstein环 。
2) Gorenstein projective module
Gorenstein投射模
1.
The paper introduced the defintion of strong module,and proved that all strong modules in a Gorenstein ring are Gorenstein projective modules,and so it characterized Gorenstein projective module by the Bass numbers.
引进了强模的概念,证明了Gorenstein环上的强模就是Gorenstein投射模,并通过Bass基数刻画了Gorenstein环上的强模(即Gorenstein投射模)。
2.
The analogues for the basic notion, such as projective, injective, flat, and free modules, are the Gorenstein projective, Gorenstein injective, Gorenstein flat, and strongly Gorenstein projective modules.
在Gorenstein同调代数中,Gorenstein投射模相当于一般同调代数中的投射模。
3) Relative Gorenstein injective dimensions
相对Gorenstein内射维数
4) Gorenstein module
Gorenstein模
5) Gorenstein k-syzygy module
Gorenstein合冲模
1.
In this paper,we first introduce the notion of Gorenstein k-syzygy modules,then give an equivalent characterization that the class of Gorenstein k-syzygy modules concides with that of ttorsionfree modules.
引入了Gorenstein合冲模,给出了Gorenstein合冲模类和挠自由模类重合的等价刻画。
6) Co-Gorenstein modules
Co-Gorenstein模
补充资料：无射
1.不厌。 2.古十二律之一。位于戌，故亦指阴历九月。 3.周景王所铸钟名。后亦泛指大钟。
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