The Cyclicity of Tensor Products of Cyclic p-Algebras

2025/10/21 by Adam Chapman, Chapman, Adam · 1 citation
Mathematics · #16K20 13F35 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2510.18421

openalex publication_date 2025/10/21 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We revisit the famous theorem of Albert's on the cyclicity of tensor products of cyclic p-algebras. In the case of tensor products of cyclic p-algebras of prime degree, we provide an explicit computation of the resulting cyclic algebra in symbol algebra terms.

Citations

• Minimal quadratic forms for the function field of a conic in characteristic 2

Cited by

• Sums of two symbols in K₂(F)/2K₂(F) in characteristic two

Related

• Power-Central Elements in Tensor Products of Symbol Algebras
• Tensor Products of A_∞-algebras with Homotopy Inner Products
• Kummer Subspaces of Tensor Products of Cyclic Algebras
• On the algebras obtained by tensor product
• Prime to p extensions of the generic abelian crossed product