Geodesic
Matching torsion and cotorsion theories
Glasgow mathematical journal, Tome 15 (1974) no. 2, pp. 176-179

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

Throughout the following note R will denote an associative ring with unit element 1. We shall denote by R-mod [resp. mod-R] the category of all unitary left [resp. right] R-modules. Morphisms in these categories will be written as acting on the side opposite scalar multiplication. All other functions will be written as acting on the left. If is a category, we shall abuse notation and write “A∈ when we mean “A is an object of ”. 
Golan, Jonathan S. Matching torsion and cotorsion theories. Glasgow mathematical journal, Tome 15 (1974) no. 2, pp. 176-179. doi: 10.1017/S001708950000238X
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[1] 1.Bass, H., Finitistic dimension and homological generalization of semiprimary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. Google Scholar | DOI

[2] 2.Dickson, S., A torsion theory for abelian categories, Trans. Amer. Math. Soc. 121 (1966), 223–235. Google Scholar | DOI

[3] 3.Dlab, V., A characterization of perfect rings, Pacific J. Math. 33 (1970), 79–88. Google Scholar | DOI

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

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

[6] 6.McMaster, R. J., Cotorsion theories and torsion theories over perfect rings, Ph.D. thesis, McGill University (Montreal, 1973). Google Scholar

[7] 7.Silver, L., Noncommutative localization and applications, J. Algebra 7 (1967), 44–76. Google Scholar | DOI

[8] 8.Stenström, B., Rings and modules of quotients, Lecture Notes in Mathematics 237 (Springer-Verlag, Berlin, 1971). Google Scholar | DOI

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