A note on the existence of cyclic algebras in division algebras

DOI10.1080/00927872.2016.1264587zbMath1368.11118OpenAlexW2557299028MaRDI QIDQ4977694

Mehran Motiee

Publication date: 16 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1264587

zbMATH Keywords

valuationglobal fielddivision algebra

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (1)

SOLVABLE CROSSED PRODUCT ALGEBRAS REVISITED

Cites Work

• Galois subfields of tame division algebras.
• Division algebras over Henselian fields.
• On the Dec group of finite abelian Galois extensions over global fields
• Cyclic algebras over \(p\)-adic curves.
• On central division algebras
• Brauer groups of fields
• Cyclicity conditions for division algebras of prime degree
• Noncrossed Products and Nonabelian Crossed Products Over ℚ(T) and ℚ((T))
• Value Functions on Simple Algebras, and Associated Graded Rings
• The division algebras and Brauer group of a strictly Henselian field

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