Email this article On Some Classes of Hopfian Abelian Groups and Modules
- Authors: Kaigorodov E.V.1, Krylov P.A.1
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Affiliations:
- Tomsk State University, Department of Algebra
- Issue: Vol 230, No 3 (2018)
- Pages: 392-397
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240693
- DOI: https://doi.org/10.1007/s10958-018-3745-9
- ID: 240693
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Abstract
The hopficity property in a well-known class of Abelian groups—completely decomposable torsion-free groups—as well as in a class of modules over generalized matrix rings is studied. Examples of non-Hopfian completely decomposable torsion-free group are constructed.
About the authors
E. V. Kaigorodov
Tomsk State University, Department of Algebra
Author for correspondence.
Email: gazetaintegral@gmail.com
Russian Federation, Lenin Ave., 36, Tomsk, 634050
P. A. Krylov
Tomsk State University, Department of Algebra
Email: gazetaintegral@gmail.com
Russian Federation, Lenin Ave., 36, Tomsk, 634050
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