Division rings and the square root of -1

DOI10.1016/0021-8693(80)90223-9zbMath0452.16011OpenAlexW1966392325MaRDI QIDQ1148378

Adrian R. Wadsworth, Burton Fein, Murray M. Schacher

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90223-9

zbMATH Keywords

division ringsquaternion algebramaximal subfieldsquare root of -1

Mathematics Subject Classification ID

Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items (5)

Reduced \(K\)-theory of Azumaya algebras. ⋮ Division algebras with common subfields ⋮ Unnamed Item ⋮ Associative rings ⋮ Triviality of the Functor Coker(K ₁(F) → K ₁(D)) for Division Algebras

Cites Work

• Strong crossed product division algebras^∗
• The Ordinary Quaternions Over a Pythagorean Field
• Hereditarily pythagorean fields, infinite Harrison-primes and sums of 2ⁿth powers
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