Geodesic
Weak multiplication modules over a pullback of Dedekind domains
S. Ebrahimi Atani 1   ; F. Farzalipour 1
1 Department of Mathematics University of Guilan P.O. Box 1914, Rasht, Iran
Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 99-112 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm114-1-8
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

S. Ebrahimi Atani  1   ; F. Farzalipour  1

1 Department of Mathematics University of Guilan P.O. Box 1914, Rasht, Iran 
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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

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