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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.… Click to show full abstract
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.
Keywords:
cotorsion theories;
abelian categories;
presentable abelian;
locally presentable;
covers envelopes
Journal Title: Journal of Algebra
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!