On prime modules over pullback rings
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 781-789
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if $R$ is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime $R$-modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if $R$ is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime $R$-modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.
Classification :
13C05, 13C11, 13C13, 13F05, 16D70
Keywords: indecomposable prime modules; pullback rings; separated modules
Keywords: indecomposable prime modules; pullback rings; separated modules
@article{CMJ_2004_54_3_a19,
author = {Atani, Shahabaddin Ebrahimi},
title = {On prime modules over pullback rings},
journal = {Czechoslovak Mathematical Journal},
pages = {781--789},
year = {2004},
volume = {54},
number = {3},
mrnumber = {2086734},
zbl = {1080.13507},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a19/}
}
Atani, Shahabaddin Ebrahimi. On prime modules over pullback rings. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 781-789. http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a19/