Abstract
We investigate when the augmentation ideal of a group algebrakG has the AR property in the cases ofG a locally nilpotent or hyperabelian group.
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References
I. Kaplansky,Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1962.
Y. Nouazé and P. Gabriel,Idéaux premiers de l’algèbre enveloppante d’une algèbre de Lie nilpotente, J. Algebra6 (1967), 77–99.
D. S. Passman,The Algebraic Structure of Group Rings, Wiley-Interscience, New York, 1977.
D. J. S. Robinson,Finiteness Conditions and Generalized Soluble Groups, Vols. I and II, Springer-Verlag, Berlin, 1972.
J. E. Roseblade,Applications of the Artin-Rees Lemma to group rings, Symposia Math.17 (1976), 471–478.
W. R. Scott,Group Theory, Prentice-Hall, New Jersey, 1964.
P. F. Smith,The AR property and chain conditions in group rings, Israel J. Math.32 (1979), 131–144.
R. L. Snider,The zero divisor conjecture for some solvable groups, preprint.
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Smith, P.F. More on the AR property and chain conditions in group rings. Israel J. Math. 35, 186–204 (1980). https://doi.org/10.1007/BF02761189
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DOI: https://doi.org/10.1007/BF02761189