An endomorphisms $\p$ of an abelian group $A$ is said inertial if each subgroup $H$ of $A$ has finite index in $H+\varphi (H)$. We study the ring of inertial endomorphisms of an abelian group. We obtain a satisfactory description modulo the ideal of finitary endomorphisms. Also the corresponding problem for vector spaces is considered.
On the ring of inertial endomorphisms of an abelian group
RINAURO, Silvana
2014-01-01
Abstract
An endomorphisms $\p$ of an abelian group $A$ is said inertial if each subgroup $H$ of $A$ has finite index in $H+\varphi (H)$. We study the ring of inertial endomorphisms of an abelian group. We obtain a satisfactory description modulo the ideal of finitary endomorphisms. Also the corresponding problem for vector spaces is considered.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Dardano_Rinauro_Ric_Mat.pdf
solo utenti autorizzati
Tipologia:
Documento in Post-print
Licenza:
DRM non definito
Dimensione
332.83 kB
Formato
Adobe PDF
|
332.83 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
