منابع مشابه
Homological transcendence degree
Let D be a division algebra over a base field k. The homological transcendence degree of D, denoted by HtrD, is defined to be the injective dimension of the algebra D⊗k 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 ...
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Let D be a division algebra over a base field k. The homological transcendence degree of D, denoted by HtrD, is defined to be the injective dimension of the algebra D⊗k 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 ...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2006
ISSN: 0024-6115,1460-244X
DOI: 10.1017/s0024611505015698