Representations of algebras as universal localizations

dc.creatorNeeman, Amnon
dc.creatorRanicki, Andrew
dc.creatorSchofield, Aidan
dc.date2002-05-03
dc.date2002-07-02
dc.date.accessioned2026-07-07T04:48:15Z
dc.date.available2026-07-07T04:48:15Z
dc.descriptionEvery finitely presented algebra S is shown to be Morita equivalent to the universal localization σ^{-1}R of a finite dimensional algebra R. The construction provides many examples of universal localizations which are not stably flat, i.e. Tor^R_i(σ^{-1}R,σ^{-1}R) is non-zero for some i>0. It is also shown that there is no algorithm to determine if two Malcolmson normal forms represent the same element of σ^{-1}R.
dc.descriptionv2 (minor revision of v1). 15 pages, LATEX, to be published in the Mathematical Proceedings of the Cambridge Philosophical Society
dc.identifierhttps://arxiv.org/abs/math/0205034
dc.identifierhttp://arxiv.org/abs/math/0205034
dc.identifierMath. Proc. Camb. Phil. Soc. 136, 105-117 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63975
dc.subjectRings and Algebras
dc.subject16A08; 18E35
dc.titleRepresentations of algebras as universal localizations
dc.typetext

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