Relative multiplication and distributive modules

José Escoriza; Blas Torrecillas

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 2, page 205-221
  • ISSN: 0010-2628

Abstract

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We study the construction of new multiplication modules relative to a torsion theory τ . As a consequence, τ -finitely generated modules over a Dedekind domain are completely determined. We relate the relative multiplication modules to the distributive ones.

How to cite

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Escoriza, José, and Torrecillas, Blas. "Relative multiplication and distributive modules." Commentationes Mathematicae Universitatis Carolinae 38.2 (1997): 205-221. <http://eudml.org/doc/248091>.

@article{Escoriza1997,
abstract = {We study the construction of new multiplication modules relative to a torsion theory $\tau $. As a consequence, $\tau $-finitely generated modules over a Dedekind domain are completely determined. We relate the relative multiplication modules to the distributive ones.},
author = {Escoriza, José, Torrecillas, Blas},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {torsion theory; semicentered torsion theory; multiplication module; distributive module; torsion theory; multiplication module; distributive module; Krull domains},
language = {eng},
number = {2},
pages = {205-221},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Relative multiplication and distributive modules},
url = {http://eudml.org/doc/248091},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Escoriza, José
AU - Torrecillas, Blas
TI - Relative multiplication and distributive modules
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 2
SP - 205
EP - 221
AB - We study the construction of new multiplication modules relative to a torsion theory $\tau $. As a consequence, $\tau $-finitely generated modules over a Dedekind domain are completely determined. We relate the relative multiplication modules to the distributive ones.
LA - eng
KW - torsion theory; semicentered torsion theory; multiplication module; distributive module; torsion theory; multiplication module; distributive module; Krull domains
UR - http://eudml.org/doc/248091
ER -

References

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