On division rings with algebraic commutators of bounded degree.

DOI10.1007/s00229-003-0430-0zbMath1054.16012OpenAlexW2042510044MaRDI QIDQ1434135

Pjek-Hwee Lee, Yuen Fong, Mikhail A. Chebotar

Publication date: 1 July 2004

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/181514/1/08.pdf

zbMATH Keywords

derivationsprime ringspolynomial identitiesextended centroidsalgebraic commutators

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Finite-dimensional division rings (16K20) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (8)

Subnormal subgroups in division rings with generalized power central group identities. ⋮ A note on symmetric elements of division 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 ⋮ Algebraic commutators with respect to subnormal subgroups in division rings ⋮ Certain simple maximal subfields in division rings ⋮ VECTOR SPACE GENERATED BY THE MULTIPLICATIVE COMMUTATORS OF A DIVISION RING

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