The existence totally reflexive covers
نویسنده
چکیده مقاله:
Let $R$ be a commutative Noetherian ring. We prove that over a local ring $R$ every finitely generated $R$-module $M$ of finite Gorenstein projective dimension has a Gorenstein projective cover$varphi:C rightarrow M$ such that $C$ is finitely generated and the projective dimension of $Kervarphi$ is finite and $varphi$ is surjective.
منابع مشابه
Totally reflexive extensions and modules
Article history: Received 23 August 2012 Available online xxxx Communicated by Luchezar L. Avramov MSC: 16G50 13B02 16E65
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عنوان ژورنال
دوره 6 شماره 2
صفحات 81- 86
تاریخ انتشار 2019-05-01
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