Idempotents in Noetherian Group Rings

Author:

Formanek Edward

Abstract

If G is a torsion–free group and F is a field, is the group ring F[G] a ring without zero divisors? This is true if G is an ordered group or various generalizations thereof - beyond this the question remains untouched. This paper proves a related result.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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1. Units, zero-divisors and idempotents in rings graded by torsion-free groups;Journal of Group Theory;2024-01-25

2. Complex group rings and group C$$^*$$-algebras of group extensions;Journal of Algebraic Combinatorics;2022-10-22

3. On the Farrell-Jones Conjecture and its applications;Journal of Topology;2007-10-28

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