子范畴
数学
诺瑟人
交换性质
残渣场
诺瑟环
有限生成交换群
交换环
领域(数学)
局部环
猜想
纯数学
组合数学
离散数学
戒指(化学)
域代数上的
有机化学
化学
作者
Arash Sadeghi,Ryo Takahashi
标识
DOI:10.1307/mmj/1592359276
摘要
Let R be a commutative Noetherian local ring with residue field k. Let X be a resolving subcategory of finitely generated R-modules. This paper mainly studies when X contains k or consists of totally reflexive modules. It is proved that X does so if X is closed under cosyzygies. A conjecture of Dao and Takahashi is also shown to hold in several cases.
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