Localization in right (*)-serial coalgebras. (Q610732)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Localization in right (*)-serial coalgebras. |
scientific article; zbMATH DE number 5825458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Localization in right (*)-serial coalgebras. |
scientific article; zbMATH DE number 5825458 |
Statements
Localization in right (*)-serial coalgebras. (English)
0 references
10 December 2010
0 references
Let \(C\) be a coalgebra. A right \(C\)-comodule is uniserial if its lattice of subcomodules is a chain. It is biserial if there are only two maximal chains in the lattice of subcomodules. \(C\) is called right \((*)\)-serial if its right injective indecomposable comodules are uniserial or biserial. \((*)\)-serial coalgebras are characterized using localization techniques: \(C\) is right \((*)\)-serial if and only if each socle-finite localized coalgebra of \(C\) is right \((*)\)-serial.
0 references
serial coalgebras
0 references
localizations
0 references
lattices of subcomodules
0 references
