Title: Homological Transcendence Degree
Authors: Amnon Yekutieli and James J. Zhang
Publication status: Proc. London Math. Soc. 2006 93 no. 1, 105-137
Abstract:
Let 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.
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