Shirshov's theorem and division rings that are left algebraic over a subfield.

DOI10.1016/j.jpaa.2012.11.015zbMath1293.16016arXiv1111.5604OpenAlexW1989854806MaRDI QIDQ387382

Vesselin Drensky, Yaghoub Sharifi, Jason P. Bell

Publication date: 23 December 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5604

zbMATH Keywords

division ringsleft algebraic algebrasprimitive algebraic algebras

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Finite-dimensional division rings (16K20) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items

A note on symmetric elements of division rings with involution ⋮ On the unit groups of rings with involution ⋮ Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ Division algebras with left algebraic commutators ⋮ On the algebraicity of bounded degree in division rings ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Algebraic commutators with respect to subnormal subgroups 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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