Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains

S. Ebrahimi Atani; F. Esmaeili Khalil Saraei

Colloquium Mathematicae (2010)

  • Volume: 120, Issue: 1, page 23-42
  • ISSN: 0010-1354

Abstract

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We describe all those indecomposable primarily comultiplication modules with finite-dimensional top over pullback of two Dedekind domains. We extend the definition and results given by R. Ebrahimi Atani and S. Ebrahimi Atani [Algebra Discrete Math. 2009] to a more general primarily comultiplication modules case.

How to cite

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S. Ebrahimi Atani, and F. Esmaeili Khalil Saraei. "Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains." Colloquium Mathematicae 120.1 (2010): 23-42. <http://eudml.org/doc/283802>.

@article{S2010,
abstract = {We describe all those indecomposable primarily comultiplication modules with finite-dimensional top over pullback of two Dedekind domains. We extend the definition and results given by R. Ebrahimi Atani and S. Ebrahimi Atani [Algebra Discrete Math. 2009] to a more general primarily comultiplication modules case.},
author = {S. Ebrahimi Atani, F. Esmaeili Khalil Saraei},
journal = {Colloquium Mathematicae},
keywords = {pullback; Dedekind domain; separated module; primarily comultiplication module; pure-injective module; Prufer module},
language = {eng},
number = {1},
pages = {23-42},
title = {Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains},
url = {http://eudml.org/doc/283802},
volume = {120},
year = {2010},
}

TY - JOUR
AU - S. Ebrahimi Atani
AU - F. Esmaeili Khalil Saraei
TI - Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 1
SP - 23
EP - 42
AB - We describe all those indecomposable primarily comultiplication modules with finite-dimensional top over pullback of two Dedekind domains. We extend the definition and results given by R. Ebrahimi Atani and S. Ebrahimi Atani [Algebra Discrete Math. 2009] to a more general primarily comultiplication modules case.
LA - eng
KW - pullback; Dedekind domain; separated module; primarily comultiplication module; pure-injective module; Prufer module
UR - http://eudml.org/doc/283802
ER -

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