A weaker form of Baer’s splitting problem for torsion theories

Mark L. Teply; Blas Torrecillas

Czechoslovak Mathematical Journal (1993)

  • Volume: 43, Issue: 4, page 663-674
  • ISSN: 0011-4642

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Teply, Mark L., and Torrecillas, Blas. "A weaker form of Baer’s splitting problem for torsion theories." Czechoslovak Mathematical Journal 43.4 (1993): 663-674. <http://eudml.org/doc/31373>.

@article{Teply1993,
author = {Teply, Mark L., Torrecillas, Blas},
journal = {Czechoslovak Mathematical Journal},
keywords = {bounded splitting problems; torsion theory; Gabriel filter; direct sum of -injective modules; generating set; -modules; -bounded order},
language = {eng},
number = {4},
pages = {663-674},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A weaker form of Baer’s splitting problem for torsion theories},
url = {http://eudml.org/doc/31373},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Teply, Mark L.
AU - Torrecillas, Blas
TI - A weaker form of Baer’s splitting problem for torsion theories
JO - Czechoslovak Mathematical Journal
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 4
SP - 663
EP - 674
LA - eng
KW - bounded splitting problems; torsion theory; Gabriel filter; direct sum of -injective modules; generating set; -modules; -bounded order
UR - http://eudml.org/doc/31373
ER -

References

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  1. 10.1080/00927878108822640, Commun. Alg. 9 (1981), 1161–1214. (1981) MR0617781DOI10.1080/00927878108822640
  2. Homological Algebra, Princeton, 1956. (1956) MR0077480
  3. 10.1016/0021-8693(68)90091-4, J. Algebra 10 (1968), 149–165. (1968) MR0241465DOI10.1016/0021-8693(68)90091-4
  4. 10.1090/S0002-9904-1970-12370-9, Bull. Amer. Math. Soc. 76 (1970), 75–79. (1970) Zbl0213.04501MR0258886DOI10.1090/S0002-9904-1970-12370-9
  5. 10.1090/S0002-9947-1990-0974514-8, Trans. Amer. Math. Soc. 322 (1990), 547–560. (1990) MR0974514DOI10.1090/S0002-9947-1990-0974514-8
  6. 10.1080/16073606.1991.9631639, Questiones Math. 14 (1991), 227–236. (1991) MR1107683DOI10.1080/16073606.1991.9631639
  7. 10.1007/BF01431462, Math. Ann. 188 (1970), 270–284. (1970) MR0276264DOI10.1007/BF01431462
  8. 10.2140/pjm.1972.40.73, Pacific J. Math. 40 (1972), 73–82. (1972) MR0306266DOI10.2140/pjm.1972.40.73
  9. Torsion Theories, Pitman Monographs 29, Longman Scientific and Technical/John Wiley, New York, 1986. (1986) MR0880019
  10. Singular Torsion and the Splitting Properties, Mem. Amer. Math. Soc. 124 (1972). (1972) Zbl0242.16018MR0340335
  11. 10.2140/pjm.1974.54.59, Pacific J. Math. 54 (1974), 59–72. (1974) Zbl0283.13004MR0376650DOI10.2140/pjm.1974.54.59
  12. 10.4153/CJM-1966-091-2, Canad. J. Math. 18 (1966), 901–919. (1966) Zbl0145.26502MR0199225DOI10.4153/CJM-1966-091-2
  13. 10.1090/S0002-9947-1952-0046349-0, Trans. Amer. Math. Soc. 72 (1952), 327–340. (1952) Zbl0046.25701MR0046349DOI10.1090/S0002-9947-1952-0046349-0
  14. 10.1007/BF01650081, Archiv. der Math. 13 (1962), 341–343. (1962) Zbl0108.26302MR0144939DOI10.1007/BF01650081
  15. 10.1016/0021-8693(72)90104-4, J. Algebra 22 (1972), 45–81. (1972) Zbl0239.16003MR0299639DOI10.1016/0021-8693(72)90104-4
  16. An Introduction to Homological Algebra, Academic Press, New York, 1979. (1979) Zbl0441.18018MR0538169
  17. Rings of Quotients, Die Grundlehren der math. Wiss. in Einzeld. 217, Springer-Verlag, Berlin, 1975. (1975) MR0389953
  18. 10.2140/pjm.1973.45.653, Pacific J. Math. 45 (1973), 653–668. (1973) MR0318208DOI10.2140/pjm.1973.45.653

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