On endomorphism algebras over admissible Dedekind domains

Giorgio Piva

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 163-172
  • ISSN: 0041-8994

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Piva, Giorgio. "On endomorphism algebras over admissible Dedekind domains." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 163-172. <http://eudml.org/doc/108092>.

@article{Piva1988,
author = {Piva, Giorgio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free, reduced rings; endomorphism rings; countable abelian groups; Dedekind domains},
language = {eng},
pages = {163-172},
publisher = {Seminario Matematico of the University of Padua},
title = {On endomorphism algebras over admissible Dedekind domains},
url = {http://eudml.org/doc/108092},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Piva, Giorgio
TI - On endomorphism algebras over admissible Dedekind domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 163
EP - 172
LA - eng
KW - torsion-free, reduced rings; endomorphism rings; countable abelian groups; Dedekind domains
UR - http://eudml.org/doc/108092
ER -

References

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  1. [C] A.L.S. Corner, Every countable reduced torsion- f ree ring is an endomorphism ring, Proc. London Math. Soc., (3) 13 (1963), pp. 687-710. Zbl0116.02403MR153743
  2. [CG] A.L.S. Corner - R. Göbel, Prescribing endomorphism algebras, a unified treatment, Proc. London Math. Soc., (3) 50 (1985), pp. 447-479. Zbl0562.20030MR779399
  3. [LD] A. Le Donne, Sull'algebra degli endomorfismi di una classe di moduli ridotti e senza torsione sui domini di Dedekind, Rend. Sem. Mat. Univ. Padova, 56 (1977), pp. 215-226. Zbl0385.16013MR472790
  4. [O] A. Orsatti, A class of rings which are the endomorphism rings of some torsion-free abelian groups, Ann. Scuola Norm. Sup. Pisa, 23 (1969), pp. 143-153. Zbl0188.08903MR242948
  5. [S] L. Salce, Moduli slender su anelli di Dedekind, Ann. Univ. Ferrara, Sez. VII, 20 (1975), pp. 59-63. Zbl0326.13003MR369350
  6. [W] R.B. WarfieldJr., Countably generated modules over commutative Artinian rings, Pac. J. of Math., 60, no. 2 (1975), pp. 289-302. Zbl0321.13008MR414534

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