Homological properties of cochain Differential Graded algebras

Simple item page
dc.creatorFrankild, Anders J.
dc.creatorJorgensen, Peter
dc.date2008-01-10
dc.date.accessioned2026-07-07T08:53:39Z
dc.date.available2026-07-07T08:53:39Z
dc.descriptionConsider 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.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0801.1581
dc.identifierhttp://arxiv.org/abs/0801.1581
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145698
dc.subjectRings and Algebras
dc.subjectK-Theory and Homology
dc.subject16E45 (Primary) 55P62 (Secondary)
dc.titleHomological properties of cochain Differential Graded algebras
dc.typetext

Files

Collections

arXiv