Weak multiplication modules over a pullback of Dedekind domains

S. Ebrahimi Atani, and F. Farzalipour. "Weak multiplication modules over a pullback of Dedekind domains." Colloquium Mathematicae 114.1 (2009): 99-112. <http://eudml.org/doc/283764>.

@article{S2009,
abstract = {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/Rad(R)M is finite-dimensional over R/Rad(R). We also establish a connection between the weak multiplication modules and the pure-injective modules over such domains.},
author = {S. Ebrahimi Atani, F. Farzalipour},
journal = {Colloquium Mathematicae},
keywords = {pullback; separated; non-separated; weak multiplication; Dedekind domain; pure-injective module; Prüfer modules},
language = {eng},
number = {1},
pages = {99-112},
title = {Weak multiplication modules over a pullback of Dedekind domains},
url = {http://eudml.org/doc/283764},
volume = {114},
year = {2009},
}

TY - JOUR
AU - S. Ebrahimi Atani
AU - F. Farzalipour
TI - Weak multiplication modules over a pullback of Dedekind domains
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 1
SP - 99
EP - 112
AB - 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/Rad(R)M is finite-dimensional over R/Rad(R). We also establish a connection between the weak multiplication modules and the pure-injective modules over such domains.
LA - eng
KW - pullback; separated; non-separated; weak multiplication; Dedekind domain; pure-injective module; Prüfer modules
UR - http://eudml.org/doc/283764
ER -