Tilting modules and Auslander's Gorenstein property

Tilting modules and Auslander's Gorenstein property
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DOI:
10.1016/j.jalgebra.2003.12.008
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发表时间:
2004-05
期刊:
影响因子:
0.9
通讯作者:
Takayoshi Wakamatsu
Takayoshi Wakamatsu
中科院分区:
数学3区
文献类型:
--
作者:
Takayoshi Wakamatsu

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在任意环上引入了(广义)倾斜模的概念。结果表明,Artin代数上的倾斜模的许多结果都得到了自然的推广.考虑了Noether环上倾斜模的Auslander Gorenstein性质。
The notion of (generalized) tilting modules is introduced over arbitrary rings. It is shown that many results on tilting modules over Artin algebras are naturally generalized. The Auslander's Gorenstein property for tilting modules is considered over noetherian rings.