| Title:
|
Extensions of $GM$-rings (English) |
| Author:
|
Chen, Huanyin |
| Author:
|
Chen, Miaosen |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
273-281 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that a ring $R$ is a $GM$-ring if and only if there exists a complete orthogonal set $\lbrace e_1,\cdots ,e_n\rbrace $ of idempotents such that all $e_iRe_i$ are $GM$-rings. We also investigate $GM$-rings for Morita contexts, module extensions and power series rings. (English) |
| Keyword:
|
$GM$-ring |
| Keyword:
|
module extension |
| Keyword:
|
power series ring |
| MSC:
|
16E50 |
| MSC:
|
16S50 |
| MSC:
|
16U60 |
| MSC:
|
16U99 |
| idZBL:
|
Zbl 1081.16016 |
| idMR:
|
MR2137137 |
| . |
| Date available:
|
2009-09-24T11:22:54Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127977 |
| . |
| Reference:
|
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| . |
