A Generalization of Quotient Divisible Groups to the Infinite Rank Case-Reference-Cited by-同舟云学术

A Generalization of Quotient Divisible Groups to the Infinite Rank Case

Published:2021-05 Issue:3 Volume:62 Page:554-559
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Tsarev A. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1134/S0037446621030186.pdf

Reference17 articles.

1. Beaumont R. and Pierce R., “Torsion free rings,” Illinois J. Math., vol. 5, 6–98 (1961).

2. Reid J. D., “A note on torsion free Abelian groups of infinite rank,” Proc. Amer. Math. Soc., vol. 13, no. 2, 222–225 (1962).

3. Fomin A. A. and Wickless W., “Quotient divisible Abelian groups,” Proc. Amer. Math. Soc., vol. 126, no. 1, 45–52 (1998).

4. Arnold D., “A duality for quotient divisible abelian groups of finite rank,” Pacific J. Math., vol. 42, no. 1, 11–15 (1972).

5. Fomin A. A., “Quotient divisible mixed groups” in:, Abelian Groups, Rings and Modules. Agram 2000 Conference July 9–15, 2000, Perth, Western Australia, Amer. Math. Soc., Providence (2001), 117–128 (Contemp. Math.; Vol. 273).

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. $ E $-Rings and Quotient Divisible Abelian Groups;Siberian Mathematical Journal;2023-11

2. Core of abstract algebra: group theory;2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022);2022-05-17

3. Classical results in group theory;2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022);2022-05-17