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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: 2024-07-01
Stable URL: http://hdl.handle.net/10338.dmlcz/151080
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