×

The endomorphism ring of an Abelian torsionfree homogeneous separable group. (English) Zbl 0329.20035


MSC:

20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
20K20 Torsion-free groups, infinite rank
20K15 Torsion-free groups, finite rank
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] R. Baer, Abelian groups without elements of finite order. Duke Math. J.3, 68-122 (1937). · Zbl 0016.20303
[2] L.Fuchs, Infinite Abelian Groups, Vol. II. London-New York 1973. · Zbl 0257.20035
[3] G. J. Hauptfleisch, Torsion-free abelian groups with isomorphic endomorphism rings. Arch. Math.24, 269-273 (1973). · Zbl 0283.20035
[4] W.Liebert, Endomorphism rings of abelianp-groups. In: Études sur les Groupes Abéliens; pp. 239-258. Paris 1967.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.