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Nagoya Mathematical Journal

Upper bounds on homological dimensions

B. L. Osofsky
Source: Nagoya Math. J. Volume 32 (1968), 315-322.
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Primary Subjects: 16.90
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118797385
Mathematical Reviews number (MathSciNet): MR0232805
Zentralblatt MATH identifier: 0162.05102

References

[1] M. Auslander On the dimension of modules and algebras, III, Nagoya Math. J., 9 (1955), 67-77.
Mathematical Reviews (MathSciNet): MR0074406
Zentralblatt MATH: 0067.27103
Project Euclid: euclid.nmj/1118799684
[2] S. Balcerzyk On projective dimension of direct limit of modules, Bull. Acad. Polon. Sci., Ser Sci. Math. Astron. Phys. 14 (1966), 241-244.
Mathematical Reviews (MathSciNet): MR0212071
[3] I. Berstein On the dimension of modules and algebras, IX, Nagoya Math. J., 13 (1958), 83-84.
Mathematical Reviews (MathSciNet): MR0100618
Zentralblatt MATH: 0084.26602
Project Euclid: euclid.nmj/1118800032
[4] N. Bourbaki Algebre commutative, Chap. 1-2, Paris, 1961.
[5] S. Eilenberg and N. Steenrod Foundations of algebraic topology, Princeton, 1952.
Mathematical Reviews (MathSciNet): MR0050886
Zentralblatt MATH: 0047.41402
[6] A.V. Jategaonkar A counter-example in ring theory and homological algebra, Mimeo- graphed notes, University of Rochester, 1967.
[7] C.U. Jensen On homological dimensions of rings with countably generated ideals, Math. Scand. 18 (1966), 97-105.
Mathematical Reviews (MathSciNet): MR0207796
Zentralblatt MATH: 0145.26605
[8] C.U. Jensen Homological dimensions of K0-coherent rings, Math. Scand. 20 (1967), 55-60.
Mathematical Reviews (MathSciNet): MR0212046
Zentralblatt MATH: 0147.28902
[9] I. Kaplansky Projective modules, Ann. of Math. 68 (1958), 372-377.
Mathematical Reviews (MathSciNet): MR0100017
Zentralblatt MATH: 0083.25802
Digital Object Identifier: doi:10.2307/1970252
[10] I. Kaplansky Homological dimension of rings and modules, Mimeographed notes, University of Chicago, 1959.
[11] D. Lazard Sur les modules plats, Comp. Rend. 258 (1964), 6313-6316.
Mathematical Reviews (MathSciNet): MR0168625
Zentralblatt MATH: 0135.07604
[12] B.L. Osofsky Global dimension of valuation rings, Trans. Amer. Math. Soc. 126 (1967), 136-149.
Mathematical Reviews (MathSciNet): MR0206074
Zentralblatt MATH: 0145.27602
Digital Object Identifier: doi:10.1090/S0002-9947-1967-0206074-0
[13] R.S. Pierce The global dimension of boolean rings, to appear.
Mathematical Reviews (MathSciNet): MR0229695
Zentralblatt MATH: 0149.28103
Digital Object Identifier: doi:10.1016/0021-8693(67)90069-5
[14] J.E. Roos Sur les foncteurs derives de lim. Applications., Comp. Rend. 252 (1961), 3702-3704. Institutefor Advanced Study and Rutgers, TheState University
Mathematical Reviews (MathSciNet): MR0132091

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