Bounds on the global dimension of certain piecewise hereditary categories
| dc.creator | Ladkani, Sefi | |
| dc.date | 2006-07-05 | |
| dc.date | 2008-01-03 | |
| dc.date.accessioned | 2026-07-07T09:40:43Z | |
| dc.date.available | 2026-07-07T09:40:43Z | |
| dc.description | We give bounds on the global dimension of a finite length, piecewise hereditary category in terms of quantitative connectivity properties of its graph of indecomposables. We use this to show that the global dimension of a finite dimensional, piecewise hereditary algebra A cannot exceed 3 if A is an incidence algebra of a finite poset or more generally, a sincere algebra. This bound is tight. | |
| dc.description | 7 pages; slightly revised; to appear in J. Pure Appl. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0607139 | |
| dc.identifier | http://arxiv.org/abs/math/0607139 | |
| dc.identifier | Journal of Pure and Applied Algebra 212 (2008), 2140-2145 | |
| dc.identifier | doi:10.1016/j.jpaa.2007.12.007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161572 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 18G20; 18E30; 18F20; 16G20; 06A11 | |
| dc.title | Bounds on the global dimension of certain piecewise hereditary categories | |
| dc.type | text |