S-rings of Krull type

Mohammed Mouçouf

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arXiv · 2006.15831

S-rings of Krull type

Mohammed Mouçouf

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Abstract

We define and give some properties and characterizations of S-rings of Krull type. We also determine, in the case of an independent S-ring of Krull type A, the injective dimension of the quotient category Mod(A)/\mathcal{M}_{0}, where \mathcal{M}_{0} is the thick subcategory of the modules with trivial maps into the codivisorial modules.

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Mohammed Mouçouf. 2020-06-29. S-rings of Krull type. https://arxiv.org/abs/2006.15831

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