On the dimension of cofinite modules
Abstract
Let $I$ be an ideal of a commutative Noetherian complete local ring $R$. In the present paper, we establish the equality $\dim R/(I+\Ann_R M)=\dim M$ for all $I$-cofinite $R$-modules $M$.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2023
- DOI:
- 10.48550/arXiv.2307.14513
- arXiv:
- arXiv:2307.14513
- Bibcode:
- 2023arXiv230714513R
- Keywords:
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- Mathematics - Commutative Algebra