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Informace o publikaci
Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
Autoři | |
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Rok publikování | 2017 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Journal of Algebra |
Fakulta / Pracoviště MU | |
Citace | |
Doi | http://dx.doi.org/10.1016/j.jalgebra.2017.03.029 |
Obor | Obecná matematika |
Klíčová slova | covers;envelopes;cotorsion theories;locally presentable abelian categories;contramodules |
Popis | 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. |
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