Email this article Sequences of Endomorphism Groups of Abelian Groups
- Authors: Timoshenko E.A.1, Tsarev A.V.2
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Affiliations:
- National Research Tomsk State University
- Moscow State Pedagogical University
- Issue: Vol 104, No 1-2 (2018)
- Pages: 309-315
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151298
- DOI: https://doi.org/10.1134/S0001434618070325
- ID: 151298
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Abstract
In the paper, Problem 18.3 of the book “Abelian groups” (2015) by L. Fuchs is solved in the case of Abelian groups with finite p-ranks. For an Abelian group A, a sequence of groups (An) is considered, where A0 = A and An+1 = End An. It is shown that, if all p-ranks of the group A are finite, then this sequence can stabilize either after A0 or after A1.
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About the authors
E. A. Timoshenko
National Research Tomsk State University
Author for correspondence.
Email: tea471@mail.tsu.ru
Russian Federation, Tomsk, 634050
A. V. Tsarev
Moscow State Pedagogical University
Email: tea471@mail.tsu.ru
Russian Federation, Moscow, 119882
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