1. On regular endomorphism rings of topological Abelian groups
- Creator:
- Abrudan, Horea Florian
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $m$-regular ring, discrete module, quasi-injective module, linearly compact group, LCA group, and local product
- Language:
- English
- Description:
- We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups $A$ for which ${\rm End}_c(A)$ is regular is given.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public