Abstract
It is shown that ifJ is the ring of integers or a field andG a group such that the augmentation ideal of the group ringJG has the AR property then the ringJG and the groupG satisfy certain chain conditions.
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Smith, P.F. The ar property and chain conditions in group rings. Israel J. Math. 32, 131–144 (1979). https://doi.org/10.1007/BF02764910
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DOI: https://doi.org/10.1007/BF02764910