Abelian groups small with respect to reduced groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 20-24
Cet article a éte moissonné depuis la source Math-Net.Ru
In this paper we study $\mathfrak R$-small Abelian groups, where $\mathfrak R$ is the class of all reduced groups.
Keywords:
reduced group, direct sum, group of homomorphisms.
@article{IVM_2009_4_a1,
author = {I. V. Gerdt},
title = {Abelian groups small with respect to reduced groups},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {20--24},
year = {2009},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2009_4_a1/}
}
I. V. Gerdt. Abelian groups small with respect to reduced groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 20-24. http://geodesic.mathdoc.fr/item/IVM_2009_4_a1/
[1] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974, 335 pp.
[2] Feis K., Algebra: koltsa, moduli i kategorii, T. 1, Mir, M., 1977, 686 pp.
[3] Gerdt I. V., “Malye abelevy gruppy”, Vestn. Tomsk. gos. un-ta, 290 (2006), 14–17
[4] Beaumont R. A., Pierce R. S., “Torsion-free rings”, Illinois J. Math., 5 (1961), 61–98 | MR | Zbl