On PI-subrings of matrix rings over some classes of skew fields

DOI10.1016/0022-4049(88)90136-3zbMath0656.16007OpenAlexW1968701999MaRDI QIDQ1109855

A. I. Lichtman

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90136-3

zbMATH Keywords

universal enveloping algebraskew fieldgroup ringmatrix subringPI-degreefree group ringtorsion free nilpotent groupfree soluble groupuniversal field of fractions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Localization and associative Noetherian rings (16P50) Division rings and semisimple Artin rings (16Kxx) Rings with polynomial identity (16Rxx)

Related Items (3)

The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I ⋮ Trace Functions in the Ring of Fractions of Polycyclic Group Rings ⋮ The elements of finite order in the group of units of group rings of free products of groups

Cites Work

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• On division rings generated by polycyclic groups
• Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I
• Free subgroups in linear groups over some skew fields
• On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group
• On linear groups over a field of fractions of a polycyclic group ring
• Universal fields of fractions for polycyclic group algebras
• Fields of Fractions for Group Algebras of Free Groups
• Observations on group rings
• On Embedding of Group Rings of Residually Torsion Free Nilpotent Groups into Skew Fields
• Varieties of groups

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