Geodesic
Absolute Purity
Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 6-10

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

Throughout this paper we use the Bourbaki [1] conventions for rings and modules: all rings are associative but not necessarily commutative and have a 1; all modules are unital.Our purpose is to extend and simplify some recent results of Maddox [7], Megibben [8], Enochs [3], and the author [5] on absolutely pure modules by introducing several new dimensions, and using the absolutely pure dimension introduced by the author in [6], This completes some work on character modules and dimension in [5] and [6].An A -module will be called an FFR-module if and only if it has a resolution by finitely generated free A -modules. 
Fieldhouse, David J. Absolute Purity. Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 6-10. doi: 10.4153/CJM-1975-002-x
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[3] 3. Enochs, E., On absolutely pure modules (to appear). Google Scholar

[4] 4. Fieldhouse, D., Pure theories, Math. Ann. 189 (1969), 1–18. Google Scholar

[5] 5. Fieldhouse, D., Character modules, Comment. Math. Helv. 46 (1971), 274–276. Google Scholar

[6] 6. Fieldhouse, D., Character modules, dimension, and purity (to appear). Google Scholar

[7] 7. Maddox, B., Absolutely pure modules, Proc. Amer. Math. Soc. 18 (1967), 155–158. Google Scholar

[8] 8. Megibben, C., Absolutely pure modules, Proc. Amer. Math. Soc. 26 (1970), 561–566. Google Scholar

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