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

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Authors

POSITSELSKI Leonid ROSICKÝ Jiří

Year of publication 2017
Type Article in Periodical
Magazine / Source Journal of Algebra
MU Faculty or unit

Faculty of Science

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.
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