|
| << vorige | volgende >> |
Tijdschrift beschrijving
Alle jaargangen van het bijbehorende tijdschrift
Alle afleveringen van het bijbehorende jaargang
Alle artikelen van de bijbehorende aflevering
Details van artikel 17 van 24 gevonden artikelen
| Titel: |
Representation-Directed Incidence Coalgebras of Intervally Finite Posets and the Tame-Wild Dichotomy |
| Auteur: |
Simson, Daniel |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 36 (2008) nr. 7 pagina's 2764-2784 |
| Jaar: |
2008-07 |
| Inhoud: |
Incidence coalgebras C = K□I of intervally finite posets I that are representation-directed are characterized in the article, and the posets I with this property are described. In particular, it is shown that the coalgebra C = K□I is representation-directed if and only if the Euler quadratic form qC: (I) → of C is weakly positive. Every such a coalgebra C is tame of discrete comodule type and gl. dimC ≤ 2. As a consequence, we get a characterization of the incidence coalgebras C = K□I that are left pure semisimple in the sense that every left C-comodule is a direct sum of finite dimensional subcomodules. It is shown that every such coalgebra C = K□I is representation-directed and gl. dimC ≤ 2. Finally, the tame-wild dichotomy theorem is proved, for the coalgebras K□I that are right semiperfect. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 17 van 24 gevonden artikelen
| << vorige | volgende >> |