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Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories. (arXiv:1512.08119v2 [math.CT] UPDATED)

来源于:arXiv
We prove general results about completeness of cotorsion theories and existence of covers and envelopes in locally presentable abelian categories, extending the well-established theory for module categories and Grothendieck categories. These results are then applied to the categories of contramodules over topological rings, which provide examples and counterexamples. 查看全文>>