@article{10_21136_CMJ_1993_128426,
author = {Teply, Mark L. and Torrecillas, Blas},
title = {A weaker form of {Baer{\textquoteright}s} splitting problem for torsion theories},
journal = {Czechoslovak Mathematical Journal},
pages = {663--674},
year = {1993},
volume = {43},
number = {4},
doi = {10.21136/CMJ.1993.128426},
mrnumber = {1258428},
zbl = {0808.16033},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1993.128426/}
}
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 SP - 663 EP - 674 VL - 43 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1993.128426/ DO - 10.21136/CMJ.1993.128426 LA - en ID - 10_21136_CMJ_1993_128426 ER -
%0 Journal Article %A Teply, Mark L. %A Torrecillas, Blas %T A weaker form of Baer’s splitting problem for torsion theories %J Czechoslovak Mathematical Journal %D 1993 %P 663-674 %V 43 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1993.128426/ %R 10.21136/CMJ.1993.128426 %G en %F 10_21136_CMJ_1993_128426
Teply, Mark L.; Torrecillas, Blas. A weaker form of Baer’s splitting problem for torsion theories. Czechoslovak Mathematical Journal, Tome 43 (1993) no. 4, pp. 663-674. doi: 10.21136/CMJ.1993.128426
[1] F. W. Call and T. S. Shores: The Splitting of Bounded Torsion Submodules. Commun. Alg. 9 (1981), 1161–1214. | DOI | MR
[2] H. Cartan and S. Eilenberg: Homological Algebra. Princeton, 1956. | MR
[3] V. C. Cateforis and F. L. Sandomierski: The Torsion Submodule Splits Off. J. Algebra 10 (1968), 149–165. | DOI | MR
[4] J. Cozzens: Homological Properties of the Ring of Differential Polynomials. Bull. Amer. Math. Soc. 76 (1970), 75–79. | DOI | MR | Zbl
[5] P. C. Eklof, L. Fuchs, and S. Shelah: Baer Modules Over Domains. Trans. Amer. Math. Soc. 322 (1990), 547–560. | DOI | MR
[6] L. Fuchs and G. Viljoen: A Weaker Form of Baer’s Splitting Problem Over Valuation Domains. Questiones Math. 14 (1991), 227–236. | DOI | MR
[7] J. D. Fuelberth and M. L. Teply: The Torsion Submodule Splits Off. Math. Ann. 188 (1970), 270–284. | DOI | MR
[8] J. D. Fuelberth and M. L. Teply: The Singular Submodule of a Finitely Generated Module Splits Off. Pacific J. Math. 40 (1972), 73–82. | DOI | MR
[9] J. S. Golan: Torsion Theories, Pitman Monographs 29. Longman Scientific and Technical/John Wiley, New York, 1986. | MR
[10] L. R. Goodearl: Singular Torsion and the Splitting Properties. Mem. Amer. Math. Soc. 124 (1972). | MR | Zbl
[11] R. P. Grimaldi: Baer and UT-modules Over Domains. Pacific J. Math. 54 (1974), 59–72. | DOI | MR | Zbl
[12] G. Helzer: On Divisibility and Injectivity. Canad. J. Math. 18 (1966), 901–919. | DOI | MR | Zbl
[13] I. Kaplansky: Modules Over Dedekind Rings and Valuation Rings. Trans. Amer. Math. Soc. 72 (1952), 327–340. | DOI | MR | Zbl
[14] I. Kaplansky: The Splitting of Modules Over Integral Domains. Archiv. der Math. 13 (1962), 341–343. | DOI | MR | Zbl
[15] J. C. Robson: Idealizers and Hereditary Noetherian Prime Rings. J. Algebra 22 (1972), 45–81. | DOI | MR | Zbl
[16] J. J. Rotman: An Introduction to Homological Algebra. Academic Press, New York, 1979. | MR | Zbl
[17] B. Stenström: Rings of Quotients, Die Grundlehren der math. Wiss. in Einzeld. 217. Springer-Verlag, Berlin, 1975. | MR
[18] M. L. Teply: On a Class of Divisible Modules. Pacific J. Math. 45 (1973), 653–668. | DOI | MR
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