On the existence of projective and quasi-projective covers

Jutta Hausen; Johnny A. Johnson

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 49-54
  • ISSN: 0041-8994

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Hausen, Jutta, and Johnson, Johnny A.. "On the existence of projective and quasi-projective covers." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 49-54. <http://eudml.org/doc/107988>.

@article{Hausen1985,
author = {Hausen, Jutta, Johnson, Johnny A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {2-generated module; quasi-projective cover; quasi-projective module; quasi-perfect; quasi-perfect cover; semisimple artinian},
language = {eng},
pages = {49-54},
publisher = {Seminario Matematico of the University of Padua},
title = {On the existence of projective and quasi-projective covers},
url = {http://eudml.org/doc/107988},
volume = {73},
year = {1985},
}

TY - JOUR
AU - Hausen, Jutta
AU - Johnson, Johnny A.
TI - On the existence of projective and quasi-projective covers
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 49
EP - 54
LA - eng
KW - 2-generated module; quasi-projective cover; quasi-projective module; quasi-perfect; quasi-perfect cover; semisimple artinian
UR - http://eudml.org/doc/107988
ER -

References

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  1. [1] F.W. Anderson - K.R. Fuller, Rings and Categories of Modules, Graduate Texts in Mathematics, Springer-Verlag, New York, 1974. Zbl0765.16001MR417223
  2. [2] H. Bass, Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer. Math. Soc., 95 (1960), pp. 466-488. Zbl0094.02201MR157984
  3. [3] C. Faith, Algebra Ii, Ring Theory, Springer-Verlag, Berlin, 1976. Zbl0335.16002MR427349
  4. [4] T.G. Faticoni, On quasiprojective covers, Trans. Amer. Math. Soc., 278 (1983), pp. 101-113. Zbl0521.16017MR697063
  5. [5] L. Fuchs - K. M. RANGASWAMY, Quasi-projective abelian groups, Bull. Soc. Math. France, 98 (1970), pp. 5-8. Zbl0194.06603MR263918
  6. [6] J.S. Golan, Characterization of rings using quasiprojective modules, Israel J. Math., 8 (1970), pp. 34-38. Zbl0199.35502MR263867
  7. [7] J.S. Golan, Quasiperfect modules, Quart. J. Math. Oxford, (2), 22 (1971), pp. 173-182. Zbl0215.09102MR289560
  8. [8] J.S. Golan, Characterization of rings using quasiprojective modules, II, Proc. Amer. Math. Soc., 28 (1971), pp. 337-343. Zbl0211.36702MR280551
  9. [9] F. Kasch - E. A. MARES, Eine Kennzeichnung semi-perfekter Moduln, Nagoya Math. J., 27 (1966), pp. 525-529. Zbl0158.28901MR199227
  10. [10] A.K. Koehler, Rings for which every cyclic module is quasi-projective, Math. Ann., 19, 189 (1970), pp. 311-316. Zbl0198.05602MR280536
  11. [11] A.K. Koehler, Quasi-projective covers and direct sums, Proc. Amer. Math. Soc., 24 (1970), pp. 655-658. Zbl0193.34501MR255596
  12. [12] K.M. Rangaswamy - N. VANAJA, Quasi projectives in abelian module categories, Pacific J. Math., 43 (1972), pp. 221-238. Zbl0244.16014MR314936
  13. [13] L.E.T. Wu - J.P. Jans, On quasi projectives, Illinois J. Math., Il (1967), pp. 439-448. Zbl0153.06301MR220765

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