| Title:
|
Modules with the direct summand sum property (English) |
| Author:
|
Vălcan, Dumitru |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
277-287 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
modules |
| Keyword:
|
direct summands |
| Keyword:
|
sum property |
| Keyword:
|
Artinian rings |
| MSC:
|
16D10 |
| MSC:
|
16D40 |
| MSC:
|
16D50 |
| MSC:
|
16D60 |
| MSC:
|
16D70 |
| idZBL:
|
Zbl 1027.16005 |
| idMR:
|
MR1983451 |
| . |
| Date available:
|
2009-09-24T11:01:26Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127799 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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[10] D. W. Sharpe and P. Vámos: Injective Modules.Cambridge University Press, 1972. MR 0360706 |
| Reference:
|
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| Reference:
|
[12] G. V. Wilson: Modules with the summand intersection property.Comm. Algebra 14 (1986), 21–38. Zbl 0592.13008, MR 0814137, 10.1080/00927878608823297 |
| Reference:
|
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| . |
