Let $R$ be the pullback, in the sense of Levy [J. Algebra 71 (1981)], of two local Dedekind domains. We classify all those indecomposable weak multiplication $R$-modules $M$ with finite-dimensional top, that is, such that
$M/{\rm Rad} (R) M$ is finite-dimensional over $R/{\rm Rad} (R)$. We also establish a connection between the weak multiplication modules and the pure-injective modules over such domains.
Keywords:
pullback sense levy algebra local dedekind domains classify those indecomposable weak multiplication r modules finite dimensional top rad finite dimensional rad establish connection between weak multiplication modules pure injective modules domains
Affiliations des auteurs :
S. Ebrahimi Atani
1
;
F. Farzalipour
1
1
Department of Mathematics University of Guilan P.O. Box 1914, Rasht, Iran
@article{10_4064_cm114_1_8,
author = {S. Ebrahimi Atani and F. Farzalipour},
title = {Weak multiplication modules over
a pullback of {Dedekind} domains},
journal = {Colloquium Mathematicum},
pages = {99--112},
year = {2009},
volume = {114},
number = {1},
doi = {10.4064/cm114-1-8},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm114-1-8/}
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AU - F. Farzalipour
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a pullback of Dedekind domains
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a pullback of Dedekind domains
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S. Ebrahimi Atani; F. Farzalipour. Weak multiplication modules over
a pullback of Dedekind domains. Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 99-112. doi: 10.4064/cm114-1-8
