On certain classes of modules.

Kalathoor Varadarajan

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2B, page 1011-1027
  • ISSN: 0214-1493

Abstract

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Let X be a class or R-modules containing 0 and closed under isomorphic images. With any such X we associate three classes ΓX, FX and ΔX. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.

How to cite

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Varadarajan, Kalathoor. "On certain classes of modules.." Publicacions Matemàtiques 36.2B (1992): 1011-1027. <http://eudml.org/doc/41766>.

@article{Varadarajan1992,
abstract = {Let X be a class or R-modules containing 0 and closed under isomorphic images. With any such X we associate three classes ΓX, FX and ΔX. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.},
author = {Varadarajan, Kalathoor},
journal = {Publicacions Matemàtiques},
keywords = {class of modules; dual Goldie dimension; Artinian modules; left Noetherian rings; semi-perfect ring; injective left ideal; Artinian left ideal},
language = {eng},
number = {2B},
pages = {1011-1027},
title = {On certain classes of modules.},
url = {http://eudml.org/doc/41766},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Varadarajan, Kalathoor
TI - On certain classes of modules.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 1011
EP - 1027
AB - Let X be a class or R-modules containing 0 and closed under isomorphic images. With any such X we associate three classes ΓX, FX and ΔX. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.
LA - eng
KW - class of modules; dual Goldie dimension; Artinian modules; left Noetherian rings; semi-perfect ring; injective left ideal; Artinian left ideal
UR - http://eudml.org/doc/41766
ER -

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