Tensor Products of Cyclic Algebras of Degree 4 and their Kummer Subspaces

2015/02/16 by Adam Chapman, Chapman, Adam, Charlotte Ure +1
Mathematics · #05C38 #16K20 (Primary) #16W60 (Secondary) #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:05C38 #msc:16K20 #msc:16W60

paper · pdf · doi:10.48550/arxiv.1502.04411

arxiv created 2016/07/08 · arxiv updated 2016/07/11

Abstract

We prove that the maximal dimension of a Kummer space in the generic tensor product of n cyclic algebras of degree 4 is 4 n+1.

Related

• Kummer Subspaces of Tensor Products of Cyclic Algebras
• Kummer Spaces in Cyclic Algebras of Prime Degree
• Some result on K-algebras
• The Cyclicity of Tensor Products of Cyclic p-Algebras
• Krull dimension of tensor products of pullbacks