Abstract
Let $R$ be a commutative Noetherian local ring. This paper deals with the problem asking whether $R$ is Gorenstein if the $n$th syzygy module of the residue class field of $R$ has a non-trivial direct summand of finite G-dimension for some $n$. It is proved that if $n$ is at most two then it is true, and moreover, the structure of the ring $R$ is determined essentially uniquely.
Citation
Ryo Takahashi. "Direct summands of syzygy modules of the residue class field." Nagoya Math. J. 189 1 - 25, 2008.
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