Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Algebra |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jalgebra.2017.03.029 |
| Field | General mathematics |
| Keywords | covers;envelopes;cotorsion theories;locally presentable abelian categories;contramodules |
| Description | 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. |
| Related projects: |