Quasi-Endomorphism Rings of Some Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4

被引:0
作者
Cherednikova A.V. [1 ]
机构
[1] Kostroma State Technological University, ul. Gerjinsky, 17, Kostroma
关键词
D O I
10.1007/s10958-021-05641-7
中图分类号
学科分类号
摘要
We obtain a description of quasi-endomorphism rings of torsion-free Abelian groups G of rank 4, quasi-decomposable into a direct sum of groups A1 and A2 of rank 1 and a strongly indecomposable group B of rank 2 in the case where the quasi-homomorphism group ℚ ⨂ Hom(A2,B) has rank 2. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
引用
收藏
页码:494 / 505
页数:11
相关论文
共 11 条
[1]  
Arnold D.M., Finite Rank Torsion Free Abelian Groups and Rings, Lect. Notes Math., 931, (1982)
[2]  
Beaumont R.A., Pierce R.S., Torsion free groups of rank two, Mem. Amer. Math. Soc., 38, pp. 1-41, (1961)
[3]  
Cherednikova A.V., Quasi-endomorphism rings of almost completely decomposable torsion-free Abelian groups of rank 3, Abelian Groups Modules, 13, 14, pp. 237-242, (1996)
[4]  
Cherednikova A.V., Quasi-endomorphism rings of quasi-decomposable torsion-free Abelian groups of rank 3, Abelian Groups Modules, 13, 14, pp. 224-236, (1996)
[5]  
Fomin A.A., Abelian groups with a τ -adic relation, Algebra Logic, 28, 1, pp. 83-104, (1989)
[6]  
Fomin A.A., Finite Rank Torsion-Free Abelian Groups up to Quasi-Isomorphism [in Russian], (1992)
[7]  
Fuchs L., Infinite Abelian Groups, Vol, (1973)
[8]  
MacLane S., Homology, (1963)
[9]  
Pierce R.S., Associative Algebras, (1982)
[10]  
Reid J.K., On the rings of quasi-endomorphism of torsion-free Abelian groups, Topics in Abelian Groups, pp. 51-68, (1963)