Abelian groups mapping onto their endomorphism rings. (English) Zbl 0937.20031
Eklof, Paul C. (ed.) et al., Abelian groups and modules. Proceedings of the international conference in Dublin, Ireland, August 10-14, 1998. Basel: Birkhäuser. Trends in Mathematics. 231-239 (1999).
The authors study the properties of Abelian groups \(G\) for which there is an additive epimorphism of \(G\) onto the additive group \(E(G)^+\) of the endomorphism ring of \(G\). Such groups are called \(EE\)-groups. The most incisive results concern sufficient conditions for an \(EE\)-group to be the additive group of an \(E\)-ring.
For the entire collection see [Zbl 0921.00018].
For the entire collection see [Zbl 0921.00018].
Reviewer: Ph.Schultz (Perth)
MSC:
| 20K30 | Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups |
| 16S50 | Endomorphism rings; matrix rings |
