Relative purity over Noetherian rings

Ladislav Bican

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 4, page [333]-338
  • ISSN: 0139-9918

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Bican, Ladislav. "Relative purity over Noetherian rings." Mathematica Slovaca 57.4 (2007): [333]-338. <http://eudml.org/doc/34651>.

@article{Bican2007,
author = {Bican, Ladislav},
journal = {Mathematica Slovaca},
keywords = {left Noetherian rings; injective modules; injective hulls; hereditary torsion theories; relative purity},
language = {eng},
number = {4},
pages = {[333]-338},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Relative purity over Noetherian rings},
url = {http://eudml.org/doc/34651},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Bican, Ladislav
TI - Relative purity over Noetherian rings
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 4
SP - [333]
EP - 338
LA - eng
KW - left Noetherian rings; injective modules; injective hulls; hereditary torsion theories; relative purity
UR - http://eudml.org/doc/34651
ER -

References

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  1. BASS H., Finitistic dimension and a homological characterization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466-488. (1960) MR0157984
  2. BICAN L., A note on pure subgroups, Contributions to General Algebra 12, Proceedings of the Vienna Conference, June 3-6, 1999, Verlag Johannes Heyn, Klagenfurt 2000, pp. 105-107. (1999) MR1777650
  3. BICAN L., Pure subgroups, Math. Bohem. 126 (2001), 649-652. Zbl0983.20054MR1970267
  4. BICAN L.-EL BASHIR R.-ENOCHS E., All modules have flat covers, Proc. London Math. Soc. 33 (2001), 649-652. MR1832549
  5. BICAN L.-TORRECILLAS B., Precovers, Czechoslovak Math. J. 53(128) (2003), 191-203. Zbl1184.16002MR1962008
  6. BICAN L.-TORRECILLAS B., On covers, J. Algebra 236 (2001), 645-650. Zbl0973.16002MR1813494
  7. ECKMANN B.-SCHOPF A., Über injektive Moduln, Arch. Math. (Basel) 4(2) (1953), 75-78. (1953) Zbl0050.25904MR0055978
  8. ENOCHS E., Infective and flat covers, envelopes and resolvents, Israel J. Math. 39 (1981), 189-209. (1981) MR0636889
  9. FUCHS L., Infinite Abelian Groups, Vol I; II, Academic Press, New York, 1973; 1977. (1973) MR0255673
  10. TEPLY M. L., Torsion-free covers II, Israel J. Math. 23 (1976), 132-136. (1976) Zbl0321.16014MR0417245
  11. XU J., Flat Covers of Modules, Lecture Notes in Math. 1634, Springer Verlag, Berlin- Heidelberg-New York, 1996. (1996) Zbl0860.16002MR1438789

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