Algebraic elements in matrix ring over division algebras

DOI10.1017/S0305004100073606zbMath0844.16014OpenAlexW2063328708MaRDI QIDQ4872284

A. I. Lichtman

Publication date: 3 September 1996

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

Full work available at URL: https://doi.org/10.1017/s0305004100073606

zbMATH Keywords

group algebraspolycyclic-by-finite groupsmatrix ringssemiprime idealsalgebraic elementslocally finite-dimensional algebrasOre ring of quotientssubgroups of \(\text{GL}(n,R)\)

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Infinite-dimensional and general division rings (16K40) Other matrix groups over rings (20H25) Conditions on elements (16U99)

Cites Work

• On linear groups over a field of fractions of a polycyclic group ring
• Prime Ideals in Group Rings of Polycyclic Groups
• Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras
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