Strict Mittag-Leffler conditions and locally split morphisms
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 677-686
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this paper, we prove that any pure submodule of a strict Mittag-Leffler module is a locally split submodule. As applications, we discuss some relations between locally split monomorphisms and locally split epimorphisms and give a partial answer to the open problem whether Gorenstein projective modules are Ding projective.
DOI :
10.21136/CMJ.2018.0621-16
Classification :
13D02, 13D07, 13E05, 16D10, 16D80, 16D90
Keywords: strict Mittag-Leffler condition; locally split morphism; Gorenstein projective module; Ding projective module
Keywords: strict Mittag-Leffler condition; locally split morphism; Gorenstein projective module; Ding projective module
@article{10_21136_CMJ_2018_0621_16,
author = {Yang, Yanjiong and Yan, Xiaoguang},
title = {Strict {Mittag-Leffler} conditions and locally split morphisms},
journal = {Czechoslovak Mathematical Journal},
pages = {677--686},
publisher = {mathdoc},
volume = {68},
number = {3},
year = {2018},
doi = {10.21136/CMJ.2018.0621-16},
mrnumber = {3851884},
zbl = {06986965},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0621-16/}
}
TY - JOUR AU - Yang, Yanjiong AU - Yan, Xiaoguang TI - Strict Mittag-Leffler conditions and locally split morphisms JO - Czechoslovak Mathematical Journal PY - 2018 SP - 677 EP - 686 VL - 68 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0621-16/ DO - 10.21136/CMJ.2018.0621-16 LA - en ID - 10_21136_CMJ_2018_0621_16 ER -
%0 Journal Article %A Yang, Yanjiong %A Yan, Xiaoguang %T Strict Mittag-Leffler conditions and locally split morphisms %J Czechoslovak Mathematical Journal %D 2018 %P 677-686 %V 68 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0621-16/ %R 10.21136/CMJ.2018.0621-16 %G en %F 10_21136_CMJ_2018_0621_16
Yang, Yanjiong; Yan, Xiaoguang. Strict Mittag-Leffler conditions and locally split morphisms. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 677-686. doi: 10.21136/CMJ.2018.0621-16
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