English

S-rings of Krull type

Rings and Algebras 2020-06-30 v1

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.

Keywords

Cite

@article{arxiv.2006.15831,
  title  = {S-rings of Krull type},
  author = {Mohammed Mouçouf},
  journal= {arXiv preprint arXiv:2006.15831},
  year   = {2020}
}

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12 pages