2000 character limit reached
Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
Published 26 Dec 2015 in math.CT and math.RA | (1512.08119v2)
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.