A Tiled Order Having Large Global Dimension Original Research Article

The finite global dimension of a tiled order over a discrete valuation ring is bounded by a function of the uniform dimension of the order, but the exact form of the function is unknown. LetNbe the uniform dimension. A conjecture [T1] that the bound isN − 1 was disproved [F2] by producing an example of global dimensionN. We construct, for any evenN ≥ 8, a tiled order of uniform dimensionNhaving global dimension 2N − 8.