A functorial approach to modules of G-dimension zero

Details A functorial approach to modules of G-dimension zero A functorial approach to modules of G-dimension zero

2004-08-12

arxiv.org/abs/math/0408162v1

Mathematics

Commutative Algebra

22 pages

Scientific paper

Let $R$ be a commutative Noetherian ring and let $\G$ be the category of
modules of G-dimension zero over $R$. We denote the associated stable category
by $\pG$. We show that the functor category $\modpG$ is a Frobenius category
and we argue how this property could characterize $\G$ as a subcategory of
$\modR$.

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