On quasi-projective uniserial modules

Dmitri Alexeev

Rendiconti del Seminario Matematico della Università di Padova (2001)

  • Volume: 105, page 65-76
  • ISSN: 0041-8994

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Alexeev, Dmitri. "On quasi-projective uniserial modules." Rendiconti del Seminario Matematico della Università di Padova 105 (2001): 65-76. <http://eudml.org/doc/108555>.

@article{Alexeev2001,
author = {Alexeev, Dmitri},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {quasi-projective module; uniserial module; valuation domain; archimedean ideal},
language = {eng},
pages = {65-76},
publisher = {Seminario Matematico of the University of Padua},
title = {On quasi-projective uniserial modules},
url = {http://eudml.org/doc/108555},
volume = {105},
year = {2001},
}

TY - JOUR
AU - Alexeev, Dmitri
TI - On quasi-projective uniserial modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2001
PB - Seminario Matematico of the University of Padua
VL - 105
SP - 65
EP - 76
LA - eng
KW - quasi-projective module; uniserial module; valuation domain; archimedean ideal
UR - http://eudml.org/doc/108555
ER -

References

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  1. [1] D. Alexeev, Quasi-projectivity over domains, Australian Bull. Math., 60 (1999), 129-135. Zbl0957.13018MR1702810
  2. [2] S. Bazzoni - L. Fuchs - L. Salce, The hierarchy of uniseriaL moduLes over a valuation domain, Forum Math., 7 (1995), pp. 247-277. Zbl0828.13004MR1316949
  3. [3] A. Facchini - L. SALCE, Uniserial moduLes: sums and isomorphisms of subquotients, Comm. Alg., 18 (1990), pp. 499-517. Zbl0712.16008MR1047324
  4. [4] L. Fuchs, A generalization of almost maximality of valuation domains, Houston J. Math., 13, no. 1 (1987), pp. 27-35. Zbl0625.13004MR884230
  5. [5] L. Fuchs - K. RANGASWAMY, Quasi-projective abelian groups, Bull. Soc. Math. France, 98 (1970), pp. 5-8. Zbl0194.06603MR263918
  6. [6] L. Fuchs - L. SALCE, Modules over valuation domains, Marcel Dekker, 1985. Zbl0578.13004MR786121
  7. [7] K.R. Fuller - D. A. HILL, On quasi-projective modules via relative projectivity, Arch. Math., 21 (1970), pp. 369-373. Zbl0208.04501MR272815
  8. [8] P. Herrmann, Self-projective modules over valuation rings, Arch. Math., 43 (1984), pp. 332-339. Zbl0532.13003MR802308
  9. [9] K.M. Rangaswamy - N. VANAJA, Quasi projectives in abelian and module categories, Pacific J. Math., 43, no. 1 (1972), 221-238. Zbl0244.16014MR314936
  10. [10] S. Shelah, Non-standard uniseriaL moduLes over a uniseriaL domain exist, Lecture Notes in Mathematics, no. 1182, Springer, 1986. 
  11. [11] T. Shores - W. Lewis, Serial modules and endomorphism rings, Duke Math. J., 41 (1974), pp. 889-909. Zbl0294.13007MR352079

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