On prime modules over pullback rings

Shahabaddin Ebrahimi Atani

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 3, page 781-789
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Atani, Shahabaddin Ebrahimi. "On prime modules over pullback rings." Czechoslovak Mathematical Journal 54.3 (2004): 781-789. <http://eudml.org/doc/30900>.

@article{Atani2004,
abstract = {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.},
author = {Atani, Shahabaddin Ebrahimi},
journal = {Czechoslovak Mathematical Journal},
keywords = {indecomposable prime modules; pullback rings; separated modules; indecomposable prime modules; pullback rings; separated modules},
language = {eng},
number = {3},
pages = {781-789},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On prime modules over pullback rings},
url = {http://eudml.org/doc/30900},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Atani, Shahabaddin Ebrahimi
TI - On prime modules over pullback rings
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 3
SP - 781
EP - 789
AB - 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.
LA - eng
KW - indecomposable prime modules; pullback rings; separated modules; indecomposable prime modules; pullback rings; separated modules
UR - http://eudml.org/doc/30900
ER -

References

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