On FI-mono-retractable modules
Marziyeh Atashkar; Yahya Talebi
Commentationes Mathematicae Universitatis Carolinae (2022)
- Volume: 62 63, Issue: 2, page 135-143
- ISSN: 0010-2628
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topAtashkar, Marziyeh, and Talebi, Yahya. "On FI-mono-retractable modules." Commentationes Mathematicae Universitatis Carolinae 62 63.2 (2022): 135-143. <http://eudml.org/doc/298542>.
@article{Atashkar2022,
abstract = {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.},
author = {Atashkar, Marziyeh, Talebi, Yahya},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {retractable module; FI-mono-retractable module; compressible module; fully invariant submodule},
language = {eng},
number = {2},
pages = {135-143},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On FI-mono-retractable modules},
url = {http://eudml.org/doc/298542},
volume = {62 63},
year = {2022},
}
TY - JOUR
AU - Atashkar, Marziyeh
AU - Talebi, Yahya
TI - On FI-mono-retractable modules
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2022
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62 63
IS - 2
SP - 135
EP - 143
AB - 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.
LA - eng
KW - retractable module; FI-mono-retractable module; compressible module; fully invariant submodule
UR - http://eudml.org/doc/298542
ER -
References
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