Homological Transcendence Degree

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dc.creatorYekutieli, Amnon
dc.creatorZhang, James J.
dc.date2004-12-01
dc.date2005-08-06
dc.date.accessioned2026-07-07T05:14:51Z
dc.date.available2026-07-07T05:14:51Z
dc.descriptionLet D be a division algebra over a base field k. The homological transcendence degree of D, denoted by Htr D, is defined to be the injective dimension of the enveloping algebra of D. We show that Htr has several useful properties which the classical transcendence degree has. We extend some results of Resco, Rosenberg, Schofield and Stafford, and compute Htr for several classes of division algebras. The main tool for the computation is Van den Bergh's rigid dualizing complex.
dc.description31 pages. Final version, to appear in Proc. London Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0412013
dc.identifierhttp://arxiv.org/abs/math/0412013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73438
dc.subjectRings and Algebras
dc.subject16A39, 16K40, 16E10, 16W50
dc.titleHomological Transcendence Degree
dc.typetext

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