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Abelian Groups with π-Regular Center of the Endomorphism Ring

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Abstract

The notion of π-regular endomorphism ring of an abelian group generalizing the notion of regular endomorphism ring was introduced by L. Fuchs and K.M. Rangaswamy. They described periodic abelian groups with π-regular endomorphism ring and found some necessary conditions for an abelian group to have π-regular endomorphism ring. In this paper, we study abelian groups with π-regular center of the endomorphism ring. We found necessary and sufficient conditions under which an abelian group has π-regular center of the endomorphism ring.

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Authors and Affiliations

  1. Tomsk State University, 36 Lenin Ave., Tomsk, 634050, Russia

    V. M. Misyakov

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  1. V. M. Misyakov
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Correspondence to V. M. Misyakov.

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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 11, pp. 46–53.

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Misyakov, V.M. Abelian Groups with π-Regular Center of the Endomorphism Ring. Russ Math. 63, 40–46 (2019). https://doi.org/10.3103/S1066369X19110069

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  • DOI: https://doi.org/10.3103/S1066369X19110069

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