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arXiv · 1905.12390

Cohomological dimension and relative Cohen-Maculayness

Kamran Divaani-Aazar·Akram Ghanbari Doust·Massoud Tousi·Hossein Zakeri
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Abstract

Let R be a commutative Noetherian (not necessarily local) ring with identity and a be a proper ideal of R. We introduce a notion of a-relative system of parameters and characterize them by using the notion of cohomological dimension. Also, we present a criterion of relative Cohen-Macaulay modules via relative system of parameters.

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Kamran Divaani-Aazar, Akram Ghanbari Doust, Massoud Tousi, Hossein Zakeri. 2019-05-29. Cohomological dimension and relative Cohen-Maculayness. https://arxiv.org/abs/1905.12390

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