Abstract
In this paper, the classification of rings of quasi-endomorphisms of strongly indecomposable Abelian torsion-free groups of rank 4 with pseudosocles of rank 3 is obtained.
Similar content being viewed by others
References
L. Fuchs, Infinite Abelian Groups, Academic Press (1970, 1973).
F. Kasch, Moduln und Ringe, Mathematische Leitfäder, Teubner, Stuttgart (1977).
P. A. Krylov, “Radicals of rings of endomorphisms of torsion-free Abelian groups,” Mat. Sb., 95, No. 10, 214–228 (1974).
R. S. Pierce, Associative Algebras, Springer, New York (1982).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 3, pp. 245–250, 2010.
Rights and permissions
About this article
Cite this article
Cherednikova, A.V. Rings of quasi-endomorphisms of strongly indecomposable torsion-free abelian groups of rank 4 with pseudosocles of rank 3. J Math Sci 177, 942–946 (2011). https://doi.org/10.1007/s10958-011-0522-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-011-0522-4