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Teply, Mark L. Generalizations of the Simple Torsion Class and the Splitting Properties. Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 1056-1074. doi: 10.4153/CJM-1975-111-9
@article{10_4153_CJM_1975_111_9,
author = {Teply, Mark L.},
title = {Generalizations of the {Simple} {Torsion} {Class} and the {Splitting} {Properties}},
journal = {Canadian journal of mathematics},
pages = {1056--1074},
year = {1975},
volume = {27},
number = {5},
doi = {10.4153/CJM-1975-111-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-111-9/}
}
TY - JOUR AU - Teply, Mark L. TI - Generalizations of the Simple Torsion Class and the Splitting Properties JO - Canadian journal of mathematics PY - 1975 SP - 1056 EP - 1074 VL - 27 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-111-9/ DO - 10.4153/CJM-1975-111-9 ID - 10_4153_CJM_1975_111_9 ER -
[1] 1. Bass, H., Finitistic homologuai dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. Google Scholar
[2] 2. Dickson, S. E., A torsion theory for abelian categories, Trans. Amer. Math. Soc. 121 (1966), 223–235. Google Scholar
[3] 3. Dickson, S. E., Noetherian splitting rings are Artinian, J. London Math. Soc. 42 (1967), 732–736. Google Scholar
[4] 4. Fuchs, L., Torsion preradicals and ascending Loewy series of modules, J. Reine Angew. Math. 239/240 (1969), 169–179. Google Scholar
[5] 5. Fuelberth, J. D., On commutative splitting rings, Proc. London Math. Soc. 20 (1970), 393–408. Google Scholar
[6] 6. Fuelberth, J. D. and Teply, M. L., The singular submodule of a finitely generated module splits off, Pacific J. Math. 40 (1972), 73–82. Google Scholar
[7] 7. Golan, J. S., On the torsion-theoretic spectrum of a non-commutative ring (preprint, 1973). Google Scholar
[8] 8. Goodearl, K. R., Singular torsion and the splitting properties, Mem. Amer. Math. Soc. 124 (1972). Google Scholar
[9] 9. Gorbachuk, E. L., Splitting torsion and pretorsion in the category of right A-modules, Mat. Zametki 2 (1967), 681–688. Google Scholar
[10] 10. Gordon, R. and Robson, J. C., Krull dimension, Mem. Amer. Math. Soc. 133 (1973). Google Scholar
[11] 11. Kaplansky, I., Projective modules, Ann. of Math. 68 (1958), 372–377. Google Scholar
[12] 12. Lambek, J., Torsion theories, additive semantics, and rings of quotients, Lecture Notes in Mathematics 177 (Springer-Verlag, Berlin, 1971). Google Scholar
[13] 13. Shores, T. S., The Structure of Loewy modules, J. Reine Agnew. Math. 254 (1972), 204–220. Google Scholar
[14] 14. Stenstrom, B., Rings and modules of quotients, Lecture Notes in Mathematics 237 (Springer- Verlag, Berlin, 1971). Google Scholar
[15] 15. Teply, M. L., The torsion submodule of a cyclic module splits off, Can. J. Math 24 (1972), 450–464. Google Scholar
[16] 16. Teply, M. L., Onnon-commutative splitting rings, J. London Math. Soc. 4 (1971), 157-164. (See also Corrigendum in J. London Math. Soc. 6 (1973), 267–268.) Google Scholar
[17] 17. Teply, M. L. and Fuelberth, J. D., The torsion submodule splits off, Math. Ann. 188 (1970), 270–284. Google Scholar
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