Abelian group pairs having a trivial coGalois group

Title:

Abelian group pairs having a trivial coGalois group

Creator:

Hill, Paul

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:de3cdbf7-7266-45ac-a4ad-bb098ccd7388
uuid:de3cdbf7-7266-45ac-a4ad-bb098ccd7388

Subject:

coGalois group, torsion-free covers, and pairs of modules

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1069-1081

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:4

Harvested from:

CDK

Metadata only:

false