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Homological properties of cochain Differential Graded algebras

Lookup NU author(s): Professor Peter Jorgensen

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Abstract

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 Gap Theorem. 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. Indeed, this paper establishes such analogous results. © 2008 Elsevier Inc. All rights reserved.

Publication metadata

Author(s): Frankild AJ, Jorgensen P

Publication type: Article

Publication status: Published

Journal: Journal of Algebra

Year: 2008

Volume: 320

Issue: 8

Pages: 3311-3326

ISSN (print): 0021-8693

ISSN (electronic): 1090-266X

Publisher: Academic Press

URL: http://dx.doi.org/10.1016/j.jalgebra.2008.08.001

DOI: 10.1016/j.jalgebra.2008.08.001

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