On torsionfree classes which are not precover classes

Title:

On torsionfree classes which are not precover classes

Creator:

Bican, Ladislav

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c6e8d5ae-a80e-4ffc-82d6-a8f7694bf27e
uuid:c6e8d5ae-a80e-4ffc-82d6-a8f7694bf27e

Subject:

hereditary torsion theory, exact, noetherian and perfect torsion theory, Goldie’s torsion theory, precover class, cover class, and precover and cover of a module

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In the class of all exact torsion theories the torsionfree classes are cover (precover) classes if and only if the classes of torsionfree relatively injective modules or relatively exact modules are cover (precover) classes, and this happens exactly if and only if the torsion theory is of finite type. Using the transfinite induction in the second half of the paper a new construction of a torsionfree relatively injective cover of an arbitrary module with respect to Goldie’s torsion theory of finite type is presented.

Language:

English

Rights:

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

Coverage:

561-568

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:2

Harvested from:

CDK

Metadata only:

false