Some properties of direct sums of uniserial modules over valuation domains

Silvana Bazzoni

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 88, page 175-200
  • ISSN: 0041-8994

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Bazzoni, Silvana. "Some properties of direct sums of uniserial modules over valuation domains." Rendiconti del Seminario Matematico della Università di Padova 88 (1992): 175-200. <http://eudml.org/doc/108267>.

@article{Bazzoni1992,
author = {Bazzoni, Silvana},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {uniserial module; type of an element; height ideals; annihilator ideals},
language = {eng},
pages = {175-200},
publisher = {Seminario Matematico of the University of Padua},
title = {Some properties of direct sums of uniserial modules over valuation domains},
url = {http://eudml.org/doc/108267},
volume = {88},
year = {1992},
}

TY - JOUR
AU - Bazzoni, Silvana
TI - Some properties of direct sums of uniserial modules over valuation domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 88
SP - 175
EP - 200
LA - eng
KW - uniserial module; type of an element; height ideals; annihilator ideals
UR - http://eudml.org/doc/108267
ER -

References

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  1. [BFS] S. Bazzoni - L. Fuchs - L. Salce, The hierarchy of uniserial modules over a valuation domain, to appear. Zbl0828.13004MR1316949
  2. [BS1] S. Bazzoni - L. Salce, On non standard uniserial modules over valuation domains and their quotients, J. Alg., 128, 2 (1990), pp. 292-305. Zbl0714.13008MR1036392
  3. [BS2] S. Bazzoni - L. Salce, Elongations of uniserial modules over valuation domains, to appear on J. Alg. Zbl0747.13008MR1152907
  4. [BS3] S. Bazzoni - L. Salce, Equimorphism classes of uniserial modules over valuation domains, to appear on Arch. Math. Zbl0714.13013MR1139381
  5. [FS1] L. Fuchs - L. Salce, Prebasic submodules over valuation rings, Ann. Mat. Pura Appl., 32 (1982), pp. 257- 274. Zbl0515.13007MR696046
  6. [FS2] L. Fuchs - L. Salce, Modules Over Valuation Domains, Marcel Dekker, New York (1989). Zbl0578.13004MR786121
  7. [F] L. Fuchs, Infinite Abelian Groups, Vol. II, Academic Press (1973). Zbl0257.20035MR349869
  8. [K] I. Kaplansky, Infinite Abelian Groups, Univ. of Michigan Press, Ann Arbor, Michigan (1954 and 1969). Zbl0194.04402MR233887
  9. [M] C. Metelli, On automorphisms of completely decomposable torsion free abelian groups, Communications in Alg., 18 (2) (1990), pp. 529-549. Zbl0698.20048MR1047326
  10. [SL] T.S. Shores - W.J. Lewis, Serial modules and endomorphism rings, Duke Math. J., 41 (1974), pp. 889-909. Zbl0294.13007MR352079

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