Applications of a new $K$-theoretic theorem to soluble group rings
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- by P. H. Kropholler, P. A. Linnell and J. A. Moody PDF
- Proc. Amer. Math. Soc. 104 (1988), 675-684 Request permission
Abstract:
Let $R$ be a ring and let $G$ be a soluble group. In this situation we shall give necessary and sufficient conditions for $RG$ to have a right Artinian right quotient ring. In the course of this work, we shall also consider the Goldie rank problem for soluble groups and record an affirmative answer to the zero divisor conjecture for soluble groups.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 675-684
- MSC: Primary 16A27; Secondary 16A08, 16A34
- DOI: https://doi.org/10.1090/S0002-9939-1988-0964842-0
- MathSciNet review: 964842