Article
| 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 |
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| Category: | math |
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| 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 |
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| Date available: | 2022-11-02T09:10:01Z |
| Last updated: | 2023-03-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151080 |
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