| Title:
|
On FI-mono-retractable modules (English) |
| Author:
|
Atashkar, Marziyeh |
| Author:
|
Talebi, Yahya |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
63 |
| Issue:
|
2 |
| Year:
|
2022 |
| Pages:
|
135-143 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the notion of FI-mono-retractable modules which is a generalization of compressible modules. We investigate the properties of such modules. It is shown that the rings over which every cyclic module is FI-mono-retractable are simple Noetherian $V$-ring with zero socle or Artinian semisimple. The last section of the paper is devoted to the endomorphism rings of FI-retractable modules. (English) |
| Keyword:
|
retractable module |
| Keyword:
|
FI-mono-retractable module |
| Keyword:
|
compressible module |
| Keyword:
|
fully invariant submodule |
| MSC:
|
16D10 |
| MSC:
|
16D80 |
| idZBL:
|
Zbl 07613026 |
| idMR:
|
MR4506128 |
| DOI:
|
10.14712/1213-7243.2022.019 |
| . |
| Date available:
|
2022-11-02T09:10:01Z |
| Last updated:
|
2024-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151080 |
| . |
| 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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| . |
