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Rings on almost completely decomposable Abelian groups

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Abstract

The absolute radical of an Abelian group G is the intersection of radicals of all associative rings with additive group G. L. Fuchs formulated the problem on a description of absolute radicals of Abelian groups. For a group from some class of almost completely decomposable Abelian groups the absolute Jacobson radical is described. In the class of almost completely decomposable Abelian groups semisimple groups are described.

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References

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Authors and Affiliations

  1. Moscow Pedagogical State University, Moscow, Russia

    E. I. Kompantseva

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  1. E. I. Kompantseva
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Correspondence to E. I. Kompantseva.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 5, pp. 93–101, 2008.

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Kompantseva, E.I. Rings on almost completely decomposable Abelian groups. J Math Sci 163, 688–693 (2009). https://doi.org/10.1007/s10958-009-9705-7

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  • DOI: https://doi.org/10.1007/s10958-009-9705-7

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