| 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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