Countably thick modules

Ali Abdel-Mohsen; Mohammad Saleh

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 4, page 349-358
  • ISSN: 0044-8753

Abstract

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The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes ℳ of modules in σ [ M ] we study when direct sums of modules from ℳ satisfies a property ℙ in σ [ M ] . In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.

How to cite

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Abdel-Mohsen, Ali, and Saleh, Mohammad. "Countably thick modules." Archivum Mathematicum 041.4 (2005): 349-358. <http://eudml.org/doc/249477>.

@article{Abdel2005,
abstract = {The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes $\{\mathcal \{M\}\}$ of modules in $ \sigma [M]$ we study when direct sums of modules from $\{\mathcal \{M\}\}$ satisfies a property $\mathbb \{P\}$ in $\sigma [M]$. In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.},
author = {Abdel-Mohsen, Ali, Saleh, Mohammad},
journal = {Archivum Mathematicum},
keywords = {tight; weakly tight; weakly injective; countably thick; locally q.f.d.; weakly semisimple; weakly tight modules; weakly injective modules; countably thick modules; locally q.f.d. modules; weakly semisimple modules},
language = {eng},
number = {4},
pages = {349-358},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Countably thick modules},
url = {http://eudml.org/doc/249477},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Abdel-Mohsen, Ali
AU - Saleh, Mohammad
TI - Countably thick modules
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 4
SP - 349
EP - 358
AB - The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes ${\mathcal {M}}$ of modules in $ \sigma [M]$ we study when direct sums of modules from ${\mathcal {M}}$ satisfies a property $\mathbb {P}$ in $\sigma [M]$. In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.
LA - eng
KW - tight; weakly tight; weakly injective; countably thick; locally q.f.d.; weakly semisimple; weakly tight modules; weakly injective modules; countably thick modules; locally q.f.d. modules; weakly semisimple modules
UR - http://eudml.org/doc/249477
ER -

References

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