Modules with the direct summand sum property
Czechoslovak Mathematical Journal (2003)
- Volume: 53, Issue: 2, page 277-287
- ISSN: 0011-4642
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topVălcan, Dumitru. "Modules with the direct summand sum property." Czechoslovak Mathematical Journal 53.2 (2003): 277-287. <http://eudml.org/doc/30776>.
@article{Vălcan2003,
abstract = {The present work gives some characterizations of $R$-modules with the direct summand sum property (in short DSSP), that is of those $R$-modules for which the sum of any two direct summands, so the submodule generated by their union, is a direct summand, too. General results and results concerning certain classes of $R$-modules (injective or projective) with this property, over several rings, are presented.},
author = {Vălcan, Dumitru},
journal = {Czechoslovak Mathematical Journal},
keywords = {modules; direct summands; sum property; Artinian rings; direct summands; direct sums; Artinian rings; injective modules; projective modules},
language = {eng},
number = {2},
pages = {277-287},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Modules with the direct summand sum property},
url = {http://eudml.org/doc/30776},
volume = {53},
year = {2003},
}
TY - JOUR
AU - Vălcan, Dumitru
TI - Modules with the direct summand sum property
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 277
EP - 287
AB - The present work gives some characterizations of $R$-modules with the direct summand sum property (in short DSSP), that is of those $R$-modules for which the sum of any two direct summands, so the submodule generated by their union, is a direct summand, too. General results and results concerning certain classes of $R$-modules (injective or projective) with this property, over several rings, are presented.
LA - eng
KW - modules; direct summands; sum property; Artinian rings; direct summands; direct sums; Artinian rings; injective modules; projective modules
UR - http://eudml.org/doc/30776
ER -
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