Division algebras with left algebraic commutators

DOI10.1007/s10468-017-9739-3zbMath1397.17004OpenAlexW2764171736WikidataQ59613218 ScholiaQ59613218MaRDI QIDQ1671761

Mehdi Aaghabali, Mai Hoang Bien, Saieed Akbari

Publication date: 7 September 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-017-9739-3

zbMATH Keywords

commutatorsmaximal subfielddivision algebraLaurent polynomial identityleft algebraic

Mathematics Subject Classification ID

Related Items (5)

A note on symmetric elements of division rings with involution ⋮ Algebraic commutators with respect to subnormal subgroups in division rings ⋮ Certain simple maximal subfields in division rings ⋮ Subnormal subgroups and self-invariant maximal subfields in division rings ⋮ A note on subgroups in a division ring that are left algebraic over a division subring

Cites Work

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• Shirshov's theorem and division rings that are left algebraic over a subfield.
• On matrices of trace zero
• On division rings with algebraic commutators of bounded degree.
• On a generalization of Albert's theorem
• Rational identities and applications to algebra and geometry
• Structure theory for algebraic algebras of bounded degree
• Subnormal Subgroups of Division Rings
• Commutators in the Special and General Linear Groups
• On derived groups of division rings II

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