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A Note on Almost Regular Group Rings

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Abstract

It is proved that a group ring R = AG is almost regular if and only if (i) the ring A is almost regular; (ii) the group G is locally finite; (iii) the order |H| of every finite subgroup H of G is invertible in A. Bibliography: 7 titles.

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Garkusha, G.A. A Note on Almost Regular Group Rings. Journal of Mathematical Sciences 120, 1561–1562 (2004). https://doi.org/10.1023/B:JOTH.0000017884.68307.e8

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  • DOI: https://doi.org/10.1023/B:JOTH.0000017884.68307.e8

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