POSITSELSKI, Leonid a Jiří ROSICKÝ. Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories. Journal of Algebra. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, roč. 483, August, s. 83-128. ISSN 0021-8693. Dostupné z: https://dx.doi.org/10.1016/j.jalgebra.2017.03.029. |
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@article{1378779, author = {Positselski, Leonid and Rosický, Jiří}, article_location = {SAN DIEGO}, article_number = {August}, doi = {http://dx.doi.org/10.1016/j.jalgebra.2017.03.029}, keywords = {covers;envelopes;cotorsion theories;locally presentable abelian categories;contramodules}, language = {eng}, issn = {0021-8693}, journal = {Journal of Algebra}, title = {Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories}, volume = {483}, year = {2017} }
TY - JOUR ID - 1378779 AU - Positselski, Leonid - Rosický, Jiří PY - 2017 TI - Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories JF - Journal of Algebra VL - 483 IS - August SP - 83-128 EP - 83-128 PB - ACADEMIC PRESS INC ELSEVIER SCIENCE SN - 00218693 KW - covers;envelopes;cotorsion theories;locally presentable abelian categories;contramodules N2 - 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. ER -
POSITSELSKI, Leonid a Jiří ROSICKÝ. Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories. \textit{Journal of Algebra}. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, roč.~483, August, s.~83-128. ISSN~0021-8693. Dostupné z: https://dx.doi.org/10.1016/j.jalgebra.2017.03.029.
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