1. Abelian group pairs having a trivial coGalois group
- Creator:
- Hill, Paul
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- coGalois group, torsion-free covers, and pairs of modules
- Language:
- English
- Description:
- Torsion-free covers are considered for objects in the category $q_2.$ Objects in the category $q_2$ are just maps in $R$-Mod. For $R = {\mathbb Z},$ we find necessary and sufficient conditions for the coGalois group $G(A \longrightarrow B),$ associated to a torsion-free cover, to be trivial for an object $A \longrightarrow B$ in $q_2.$ Our results generalize those of E. Enochs and J. Rado for abelian groups.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public