On Some Classes of Hopfian Abelian Groups and Modules


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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.

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E. Kaigorodov

Tomsk State University, Department of Algebra

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俄罗斯联邦, Lenin Ave., 36, Tomsk, 634050

P. Krylov

Tomsk State University, Department of Algebra

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俄罗斯联邦, Lenin Ave., 36, Tomsk, 634050

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