| Title:
|
On prime modules over pullback rings (English) |
| Author:
|
Atani, Shahabaddin Ebrahimi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
781-789 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if $R$ is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime $R$-modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings. (English) |
| Keyword:
|
indecomposable prime modules |
| Keyword:
|
pullback rings |
| Keyword:
|
separated modules |
| MSC:
|
13C05 |
| MSC:
|
13C11 |
| MSC:
|
13C13 |
| MSC:
|
13F05 |
| MSC:
|
16D70 |
| idZBL:
|
Zbl 1080.13507 |
| idMR:
|
MR2086734 |
| . |
| Date available:
|
2009-09-24T11:17:36Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127929 |
| . |
| 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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| Reference:
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| . |
