| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598091 | Journal of Pure and Applied Algebra | 2008 | 6 Pages |
Abstract
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 AA cannot exceed 3 if AA is an incidence algebra of a finite poset or more generally, a sincere algebra. This bound is tight.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sefi Ladkani,