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Selected Works of Alina Iacob
Article
Homological Dimensions and Regular Rings
Journal of Algebra (2009)
  • Alina Iacob, Georgia Southern University
  • Srikanth B. Iyengar, University of Nebraska
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Abstract
A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.
Keywords
  • Homological dimension,
  • Regular ring,
  • Semi-injective,
  • Semi-projective
Disciplines
Publication Date
November 15, 2009
DOI
10.1016/j.jalgebra.2009.08.006
Publisher Statement
This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the author must have permission to distribute the work or the work must be available under the Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration. The publisher's final edited version of this article is available at Journal of Algebra.
Citation Information
Alina Iacob and Srikanth B. Iyengar. "Homological Dimensions and Regular Rings" Journal of Algebra 322.10 (2009): 3451-3458.
doi:10.1016/j.jalgebra.2009.08.006
source:http://arxiv.org/abs/0908.2470
Available at: http://works.bepress.com/alina_iacob/27