Comultiplication modules over a pullback of Dedekind domains

Reza Ebrahimi Atani; Shahabaddin Ebrahimi Atani

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 4, page 1103-1114
  • ISSN: 0011-4642

Abstract

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First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if R is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication R -modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.

How to cite

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Atani, Reza Ebrahimi, and Atani, Shahabaddin Ebrahimi. "Comultiplication modules over a pullback of Dedekind domains." Czechoslovak Mathematical Journal 59.4 (2009): 1103-1114. <http://eudml.org/doc/37981>.

@article{Atani2009,
abstract = {First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if $R$ is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication $R$-modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.},
author = {Atani, Reza Ebrahimi, Atani, Shahabaddin Ebrahimi},
journal = {Czechoslovak Mathematical Journal},
keywords = {pullback; separated modules and representations; non-separated modules; comultiplication modules; dedekind domain; pure-injective modules; Prüfer modules; pullback; separated module; representation; non-separated module; comultiplication module; Dedekind domain; pure-injective module; Prüfer module},
language = {eng},
number = {4},
pages = {1103-1114},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Comultiplication modules over a pullback of Dedekind domains},
url = {http://eudml.org/doc/37981},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Atani, Reza Ebrahimi
AU - Atani, Shahabaddin Ebrahimi
TI - Comultiplication modules over a pullback of Dedekind domains
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 4
SP - 1103
EP - 1114
AB - First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if $R$ is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication $R$-modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.
LA - eng
KW - pullback; separated modules and representations; non-separated modules; comultiplication modules; dedekind domain; pure-injective modules; Prüfer modules; pullback; separated module; representation; non-separated module; comultiplication module; Dedekind domain; pure-injective module; Prüfer module
UR - http://eudml.org/doc/37981
ER -

References

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