Mathematics

Study results from University of Newcastle provide new insights into algebra

  2008 NOV 24 - (VerticalNews.com) -- "Consider a local chain Differential Graded algebra, such as the singular chain complex of a pathwise connected topological group. In two previous papers, a number of homological results were proved for such an algebra: An Amplitude Inequality an Auslander-Buchsbaum Equality and a Cap Theorem," scientists in the United Kingdom report.

  "These were inspired by homological ring theory. By the so-called looking glass principle, one would expect that analogous results exist for simply connected cochain Differential Graded algebras, such as the singular cochain complex of a simply connected topological space," wrote A.J. Frankild and colleagues, University of Newcastle.

  The researchers concluded: "Indeed, this paper establishes such analogous results."

  Frankild and colleagues published their study in the Journal of Algebra (Homological properties of cochain Differential Graded algebras. Journal of Algebra, 2008;320(8):3311-3326).

  For additional information, contact P. Jorgensen, University of Newcastle, School Math & Statistics, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, UK.

  The publisher's contact information for the Journal of Algebra is: Academic Press Inc. Elsevier Science, 525 B St., Ste. 1900, San Diego, CA 92101-4495, USA.

  Keywords: Algebra, Mathematics, University of Newcastle.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.