1. Modules commuting (via Hom) with some colimits
- Creator:
- Bashir, Robert El, Kepka, Tomáš, and Němec, Petr
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- module, colimit, and finitely presented module
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public