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On the category of cofinite modules which is abelian. (English) Zbl 1286.13017
The authors give a new proof that the category of $$I$$-cofinite $$R$$-modules for a dimension one ideal over a commutative Noetherian ring is abelian which was proved by K.-i. Kawasaki [Math. Z. 269, No. 1–2, 587–608 (2011; Zbl 1228.13020)]. The new proof relies on a result the authors show for dimension one modules with support in $$V(I)$$.

MSC:
 13D45 Local cohomology and commutative rings 14B15 Local cohomology and algebraic geometry 13E05 Commutative Noetherian rings and modules
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References:
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