Dual dimension of modules over normalizing extensions.
Publicacions Matemàtiques (1993)
- Volume: 37, Issue: 2, page 355-358
- ISSN: 0214-1493
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topShamsuddin, Ahmad. "Dual dimension of modules over normalizing extensions.." Publicacions Matemàtiques 37.2 (1993): 355-358. <http://eudml.org/doc/41018>.
@article{Shamsuddin1993,
abstract = {Let S = Σi=1n Rai be a finite normalizing extension of R and suppose that SM is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(RM) ≤ n · crk(SM) if either SM is artinian or the group homomorphism M → aiM given by x → aix is an isomorphism.},
author = {Shamsuddin, Ahmad},
journal = {Publicacions Matemàtiques},
keywords = {Anillos; Módulos; finite normalizing extension; dual Goldie dimension},
language = {eng},
number = {2},
pages = {355-358},
title = {Dual dimension of modules over normalizing extensions.},
url = {http://eudml.org/doc/41018},
volume = {37},
year = {1993},
}
TY - JOUR
AU - Shamsuddin, Ahmad
TI - Dual dimension of modules over normalizing extensions.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 2
SP - 355
EP - 358
AB - Let S = Σi=1n Rai be a finite normalizing extension of R and suppose that SM is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(RM) ≤ n · crk(SM) if either SM is artinian or the group homomorphism M → aiM given by x → aix is an isomorphism.
LA - eng
KW - Anillos; Módulos; finite normalizing extension; dual Goldie dimension
UR - http://eudml.org/doc/41018
ER -
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