The chain lemma for biquaternion algebras.

DOI10.1016/j.jalgebra.2011.09.037zbMath1253.16020OpenAlexW2051695355WikidataQ124834959 ScholiaQ124834959MaRDI QIDQ420717

Alexander S. Sivatski

Publication date: 23 May 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.09.037

zbMATH Keywords

biquaternion algebraschains of decompositionsquadratic forms over fieldstensor products of quaternion algebras

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20)

Related Items (11)

Square-central elements and standard generators for biquaternion algebras. ⋮ Biquaternion algebras, chain lemma and symbol length ⋮ Symbol length of classes in Milnor 𝐾-groups ⋮ Chain lemma, quadratic forms and symbol length ⋮ Degree four cohomological invariants for certain central simple algebras ⋮ Chain equivalences for symplectic bases, quadratic forms and tensor products of quaternion algebras ⋮ The chain equivalence of totally decomposable orthogonal involutions in characteristic two ⋮ Biquaternion division algebras and fourth power-central elements ⋮ Chain equivalence on quaternions with trivial sum ⋮ Chow groups of products of Severi-Brauer varieties and invariants of degree 3 ⋮ Square-central and Artin-Schreier elements in division algebras.

Cites Work

• Unnamed Item
• Some applications of Jordan norms to involutorial simple associative algebras
• Indecomposable algebras of prime exponent.
• Zero Divisors in Tensor Products of Division Algebras
• Tensor Products of Quaternion Algebras
• Quadratic forms over arbitrary fields

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