Trace Functions in the Ring of Fractions of Polycyclic Group Rings

DOI10.2307/2153934zbMath0753.16015OpenAlexW4237093411MaRDI QIDQ4006676

A. I. Lichtman

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2153934

zbMATH Keywords

centergroup algebracommutatorsring of fractionsmatrix ringtrace functionsnilpotent ringpolycyclic group ringsGoldie ring of fractionspolycyclic- by-finite groupsemiprime noetherian

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ore rings, multiplicative sets, Ore localization (16U20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

On rings of quotients of group algebras of soluble groups of finite rank ⋮ The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I

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