Modules commuting (via Hom) with some colimits

Title:

Modules commuting (via Hom) with some colimits

Creator:

Bashir, Robert El, Kepka, Tomáš, and Němec, Petr

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:192d2de6-7f86-49b3-ab8d-1bac64775c6d
uuid:192d2de6-7f86-49b3-ab8d-1bac64775c6d

Subject:

module, colimit, and finitely presented module

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

For every module $M$ we have a natural monomorphism \[ \Psi :\coprod _{i\in I}\mathop {\mathrm Hom}\nolimits _R(M,A_i)\rightarrow \mathop {\mathrm Hom}\nolimits _R\biggl (M,\coprod _{i\in I}A_i\biggr) \] and we focus our attention on the case when $\Psi $ is also an epimorphism. Some other colimits are also considered.

Language:

English

Rights:

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

Coverage:

891-905

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:4

Harvested from:

CDK

Metadata only:

false