Geodesic
Cotorsion Theories and Colocalization
Canadian journal of mathematics, Tome 27 (1975) no. 3, pp. 618-628

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be an associative ring with unit element. Mod-R and R-Mod will denote the categories of unitary right and left R-modules, respectively, and all modules are assumed to be in Mod-R unless otherwise specified. For all M, N ε Mod-R, HomR(M, N) will usually be abbreviated as [M, N]. For the definitions of basic terms, and an exposition on torsion theories in Mod-R, the reader is referred to Lambek [6]. Jans [5] has called a class of modules which is closed under submodules, direct products, homomorphic images, group extensions, and isomorphic images a TTF (torsion-torsionfree) class. 
McMaster, R. J. Cotorsion Theories and Colocalization. Canadian journal of mathematics, Tome 27 (1975) no. 3, pp. 618-628. doi: 10.4153/CJM-1975-072-6
@article{10_4153_CJM_1975_072_6,
     author = {McMaster, R. J.},
     title = {Cotorsion {Theories} and {Colocalization}},
     journal = {Canadian journal of mathematics},
     pages = {618--628},
     year = {1975},
     volume = {27},
     number = {3},
     doi = {10.4153/CJM-1975-072-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-072-6/}
}
TY  - JOUR
AU  - McMaster, R. J.
TI  - Cotorsion Theories and Colocalization
JO  - Canadian journal of mathematics
PY  - 1975
SP  - 618
EP  - 628
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-072-6/
DO  - 10.4153/CJM-1975-072-6
ID  - 10_4153_CJM_1975_072_6
ER  - 
%0 Journal Article
%A McMaster, R. J.
%T Cotorsion Theories and Colocalization
%J Canadian journal of mathematics
%D 1975
%P 618-628
%V 27
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-072-6/
%R 10.4153/CJM-1975-072-6
%F 10_4153_CJM_1975_072_6

[1] 1. Azumaya, G., Some properties of TTF-classes, Proc. Conf. on Orders, Group Rings, and Related Topics, Lecture Notes in Math. 353 (Springer-Verlag, Berlin, 1973). Google Scholar

[2] 2. Chase, S. U., Direct products of modules, Trans. Amer. Math. Soc. 97 (1960), 457–473. Google Scholar

[3] 3. Courter, R. C., The maximal co-rational extension by a module, Can. J. Math. 18 (1966), 953–962. Google Scholar

[4] 4. Gabriel, P., Des categories abeliennes, Bull. Soc. Math. France 90 (1962), 323–448. Google Scholar

[5] 5. Jans, J. P., Some aspects of torsion, Pacific J. Math. 15 (1965), 1249–1259. Google Scholar

[6] 6. Lambek, J., Torsion theories, additive semantics, and rings of quotients, Lecture Notes in Math. 177 (Springer-Verlag, Berlin, 1971). Google Scholar

[7] 7. Lambek, J., Bicommutators of nice infectives, J. Algebra 21 (1972), 60–73. Google Scholar

[8] 8. Lambek, J., Localization and completion, J. Pure Appl. Algebra 2 (1972), 343–370. Google Scholar

[9] 9. Lambek, J. and Rattray, B., Localization at infectives in complete categories, Proc. Amer. Math. Soc. 41 (1973), 1–9. Google Scholar

[10] 10. Miller, R. W., TTF classes and quasi-generators, Pacific J. Math. 51 (1974), 499–507. Google Scholar

[11] 11. Rutter, E. A. Jr., Torsion theories over semi-perfect rings, Proc. Amer. Math. Soc. 34 (1972), 389–395. Google Scholar

[12] 12. Sandomierski, F. L., Modules over the endomorphism ring of a finitely generated projective module, Proc. Amer. Math. Soc. 31 (1972), 27–31. Google Scholar

Cité par Sources :