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Showing papers on "Torsion-free abelian group published in 2015"


Journal ArticleDOI
TL;DR: In this article, the authors classify Jordan G-tori, where G is any torsion-free abelian group using the Zelmanov prime structure theorem, and divide them into three types, the Hermitian type, the Clifford type, and the Albert type.
Abstract: We classify Jordan G-tori, where G is any torsion-free abelian group Using the Zelmanov prime structure theorem, such a class divides into three types, the Hermitian type, the Clifford type, and the Albert type We concretely describe Jordan G-tori of each type

3 citations


Journal ArticleDOI
TL;DR: In this article, a description of quasi-endomorphism rings of almost completely decomposable torsion-free Abelian groups of rank 4 that do not coincide with their pseudo-socles is given.
Abstract: We obtain a description of quasi-endomorphism rings of almost completely decomposable torsion-free Abelian groups of rank 4 that do not coincide with their pseudo-socles.

2 citations


Saeid, Azam, Yoji, Yoshii, Malihe, Yousofzadeh 
01 Jan 2015
TL;DR: In this paper, Zelmanov and Hermitian this paper proposed a G-tori-based G-Tori system, which is based on the Hermitians' approach.
Abstract: 我们分类约旦 G-tori,在 G 是任何没有扭转的可换群的地方。用 Zelmanov 主要结构定理,如此的一个班把类型, Hermitian 类型,克利福德类型,和艾伯特类型划分成三。我们具体地描述每种类型的约旦 G-tori。

1 citations