On the Bassian property for Abelian groups

被引：0

作者：

Andrey R. Chekhlov

Peter V. Danchev

Brendan Goldsmith

机构：

[1] Tomsk State University,Department of Mathematics and Mechanics

[2] Bulgarian Academy of Sciences,Institute of Mathematics and Informatics

[3] Technological University Dublin,undefined

来源：

Archiv der Mathematik | 2021年 / 117卷

关键词：

Abelian group; Hopfian group; Bassian group; Rank; 20K10; 20K20; 20K21;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：593 / 600

页数：7

共 6 条

[1] Albrecht U(1995)The flat dimension of mixed Abelian groups as Rocky Mountain J. Math. 25 569-590
[2] Goeters P(1990)-modules Proc. Amer. Math. Soc. 110 315-318
[3] Wickless W(1994)A finiteness property of affine algebras Comm. Algebra 22 1161-1176
[4] Bass H(undefined)Regular and principal projective endomorphism rings of mixed Abelian groups undefined undefined undefined-undefined
[5] Glaz S(undefined)undefined undefined undefined undefined-undefined
[6] Wickless W(undefined)undefined undefined undefined undefined-undefined

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