Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
| Autoři | |
|---|---|
| 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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