Nagoya Mathematical Journal

Upper bounds on homological dimensions

B. L. Osofsky

Full-text: Open access

Article information

Source
Nagoya Math. J. Volume 32 (1968), 315-322.

Dates
First available: 14 June 2005

Permanent link to this document
http://projecteuclid.org/euclid.nmj/1118797385

Mathematical Reviews number (MathSciNet)
MR0232805

Zentralblatt MATH identifier
0162.05102

Subjects
Primary: 16.90

Citation

Osofsky, B. L. Upper bounds on homological dimensions. Nagoya Mathematical Journal 32 (1968), 315--322. http://projecteuclid.org/euclid.nmj/1118797385.


Export citation

References

  • [1] M. Auslander On the dimension of modules and algebras, III, Nagoya Math. J., 9 (1955), 67-77.
  • [2] S. Balcerzyk On projective dimension of direct limit of modules, Bull. Acad. Polon. Sci., Ser Sci. Math. Astron. Phys. 14 (1966), 241-244.
  • [3] I. Berstein On the dimension of modules and algebras, IX, Nagoya Math. J., 13 (1958), 83-84.
  • [4] N. Bourbaki Algebre commutative, Chap. 1-2, Paris, 1961.
  • [5] S. Eilenberg and N. Steenrod Foundations of algebraic topology, Princeton, 1952.
  • [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.
  • [8] C.U. Jensen Homological dimensions of K0-coherent rings, Math. Scand. 20 (1967), 55-60.
  • [9] I. Kaplansky Projective modules, Ann. of Math. 68 (1958), 372-377.
  • [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.
  • [12] B.L. Osofsky Global dimension of valuation rings, Trans. Amer. Math. Soc. 126 (1967), 136-149.
  • [13] R.S. Pierce The global dimension of boolean rings, to appear.
  • [14] J.E. Roos Sur les foncteurs derives de lim. Applications., Comp. Rend. 252 (1961), 3702-3704. Institutefor Advanced Study and Rutgers, TheState University