Talk:Azumaya algebra

From Wikipedia, the free encyclopedia

Mathematics Portal This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating:	Stub Class	Low Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. needs refs, try finding some here.--Cronholm144 07:01, 24 May 2007 (UTC)

I am sorry I do not understand the definition: "... makes the tensor product isomorphic to the r×r matrix algebra over R." The tensor product of which objects? Secondly, a definition of Azumaya algebras over arbitrary commutative rings seems to be standard. Does anyone know a reference? Finally, what is the "reduced trace" in this context? Ninte 13:09, 6 January 2007 (UTC)

Okay, I found a textbook myself where everything is explained (Knus/Ojanguren, Springer Lecture Notes 389) Ninte 10:18, 12 January 2007 (UTC)