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Endomorphism Rings of Rigid Almost Completely Decomposable Abelian Groups

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Abstract

A necessary and sufficient condition is found for rigid almost completely decomposable Abelian groups with p-primary regulator quotients to have endomorphism rings isomorphic to those of the corresponding groups with cyclic regulator quotients.

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Authors and Affiliations

  1. Department of Mathematics, St. Petersburg State Technical University, Polytechnicheskaya 29, St. Petersburg, 195251, Russia

    E. A. Blagoveshchenskaya

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  1. E. A. Blagoveshchenskaya
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Correspondence to E. A. Blagoveshchenskaya.

Additional information

To Alexander V. Mikhalev, who inspired this investigation

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 7, pp. 31–47, 2011/12.

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Blagoveshchenskaya, E.A. Endomorphism Rings of Rigid Almost Completely Decomposable Abelian Groups. J Math Sci 197, 467–478 (2014). https://doi.org/10.1007/s10958-014-1728-z

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  • DOI: https://doi.org/10.1007/s10958-014-1728-z

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