Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras

DOI10.2307/2048810zbMath0682.16018OpenAlexW4244129028MaRDI QIDQ4731330

A. I. Lichtman, Bertram Arthur Frederick Wehrfritz

Publication date: 1989

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048810

zbMATH Keywords

division algebrasfinite dimensional semisimple subalgebralocally finite subgroups of GL(n,D)

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Other matrix groups over rings (20H25) Division rings and semisimple Artin rings (16Kxx)

Related Items (6)

Algebraic elements in matrix ring over division algebras ⋮ On rings of quotients of group algebras of soluble groups of finite rank ⋮ Cohn's embedding of an enveloping algebra into a division ring ⋮ The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I ⋮ Irreducible locally nilpotent finitary skew linear groups ⋮ Some nilpotent and locally nilpotent matrix groups

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