CF-modules over commutative rings

Ahmed Najim; Mohammed Elhassani Charkani

Commentationes Mathematicae Universitatis Carolinae (2018)

  • Volume: 59, Issue: 1, page 25-34
  • ISSN: 0010-2628

Abstract

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Let R be a commutative ring with unit. We give some criterions for determining when a direct sum of two CF-modules over R is a CF-module. When R is local, we characterize the CF-modules over R whose tensor product is a CF-module.

How to cite

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Najim, Ahmed, and Charkani, Mohammed Elhassani. "CF-modules over commutative rings." Commentationes Mathematicae Universitatis Carolinae 59.1 (2018): 25-34. <http://eudml.org/doc/294863>.

@article{Najim2018,
abstract = {Let $R$ be a commutative ring with unit. We give some criterions for determining when a direct sum of two CF-modules over $R$ is a CF-module. When $R$ is local, we characterize the CF-modules over $R$ whose tensor product is a CF-module.},
author = {Najim, Ahmed, Charkani, Mohammed Elhassani},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {CF-couple; CF-module; commutative ring; local ring},
language = {eng},
number = {1},
pages = {25-34},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {CF-modules over commutative rings},
url = {http://eudml.org/doc/294863},
volume = {59},
year = {2018},
}

TY - JOUR
AU - Najim, Ahmed
AU - Charkani, Mohammed Elhassani
TI - CF-modules over commutative rings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 1
SP - 25
EP - 34
AB - Let $R$ be a commutative ring with unit. We give some criterions for determining when a direct sum of two CF-modules over $R$ is a CF-module. When $R$ is local, we characterize the CF-modules over $R$ whose tensor product is a CF-module.
LA - eng
KW - CF-couple; CF-module; commutative ring; local ring
UR - http://eudml.org/doc/294863
ER -

References

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