Geodesic
On FI-mono-retractable modules
Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 135-143.

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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.
DOI : 10.14712/1213-7243.2022.019
Classification : 16D10, 16D80
Keywords: retractable module; FI-mono-retractable module; compressible module; fully invariant submodule 
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Atashkar, Marziyeh; Talebi, Yahya. On FI-mono-retractable modules. Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 135-143. doi : 10.14712/1213-7243.2022.019. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2022.019/

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