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On the Bassian property for Abelian groups A. R. Chekhlov, P. V. Danchev, B. Goldsmith
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ArticleContent type: Текст Media type: электронный Subject(s): абелевы группы | хопфовы группы | бассовостьGenre/Form: статьи в журналах Online resources: Click here to access online
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Archiv der Mathematik Vol. 117, № 6. P. 593-600Abstract: We define an object (group, ring, module, algebra, etc.) to be Bassian if it is not possible to embed it in a proper homomorphic image of itself. Here we study this concept for Abelian groups and achieve a complete characterization of all such groups in terms of their associated torsion-free and p-primary ranks.
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Библиогр.: 7 назв.
We define an object (group, ring, module, algebra, etc.) to be Bassian if it is not possible to embed it in a proper homomorphic image of itself. Here we study this concept for Abelian groups and achieve a complete characterization of all such groups in terms of their associated torsion-free and p-primary ranks.
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