Affiliation:
1. Shandong University of Technology
Abstract
In this note, we show that any epimorphism originating at a von Neumann regular ring (not necessary commutative) is a universal localization. As an application, we prove that the Telescope Conjecture holds for the unbounded derived categories of von Neumann regular rings (not necessary commutative).
Publisher
The International Electronic Journal of Algebra
Subject
Algebra and Number Theory
Reference8 articles.
1. S. Bazzoni and J. Stovicek, Smashing localizations of rings of weak global dimension at most one, Adv. Math., 305 (2017), 351-401.
2. A. K. Bousfield, The localization of spectra with respect to homology, Topology, 18(4) (1979), 257-281.
3. K. R. Goodearl, von Neumann Regular Rings, Monographs and Studies in Mathematics 4, London, Pitman Publishing, 1979.
4. B. Keller, A remark on the generalized smashing conjecture, Manuscripta Math., 84(2)(1994), 193-198.
5. H. Krause and J. Stovicek, The telescope conjecture for hereditary rings via Ext-orthogonal pairs, Adv. Math., 225(5) (2010), 2341-2364.