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On the classification of central division algebras of linearly bounded degree over global fields and local fields

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Publication:1320130
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DOI10.1006/JABR.1993.1191zbMath0818.16019OpenAlexW2084494139MaRDI QIDQ1320130

Ivan D. Chipchakov

Publication date: 14 August 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1191


zbMATH Keywords

local fieldsglobal fieldslocal isomorphismalgebraic algebrasHasse invariantstensor product decompositionscentral division LBD-algebraslocally finite-dimensional central division algebrastensor products of central \(K\)-subalgebras


Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Algebras and orders, and their zeta functions (11S45)


Related Items (3)

Henselian valued quasi-local fields with totally indivisible value groups ⋮ On Brauer \(p\)-dimensions and index-exponent relations over finitely-generated field extensions. ⋮ Henselian valued stable fields







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