E-viri
Recenzirano
-
Emmanouil, Ioannis; Talelli, Olympia
Journal of algebra, 09/2022, Letnik: 605Journal Article
The Gorenstein cohomological dimension is defined for any group G and coincides with the virtual cohomological dimension vcdG, whenever the latter is defined and finite. Unlike the virtual cohomological dimension, the Gorenstein cohomological dimension behaves well with respect to extensions, finite graphs of groups and ascending unions. In this paper, we study the Gorenstein cohomological dimension GcdkG of groups G, which are of type FP∞ over a commutative ring k. We show that if 1⟶N⟶G⟶Q⟶1 is an extension of groups with N of type FP∞ over a field F and GcdFQ<∞, then GcdFG=GcdFN+GcdFQ. We also show that for any group G of type FP∞ over Z with GcdZG<∞, there exists a field F such that GcdFG=GcdZG. This implies, in particular, that if G is a group of type FP∞ over Z and G is an extension of N by itself, then GcdZG=2GcdZN.
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Vnos na polico
Trajna povezava
- URL:
Faktor vpliva
Dostop do baze podatkov JCR je dovoljen samo uporabnikom iz Slovenije. Vaš trenutni IP-naslov ni na seznamu dovoljenih za dostop, zato je potrebna avtentikacija z ustreznim računom AAI.
Leto | Faktor vpliva | Izdaja | Kategorija | Razvrstitev | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Baze podatkov, v katerih je revija indeksirana
Ime baze podatkov | Področje | Leto |
---|
Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
---|
Vir: Osebne bibliografije
in: SICRIS
To gradivo vam je dostopno v celotnem besedilu. Če kljub temu želite naročiti gradivo, kliknite gumb Nadaljuj.