A tiled order having large global dimension

[摘要] 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. Let N be the uniform dimension. A conjecture [T1] that the bound is N - 1 was disproved [F2] by producing an example of global dimension N. Wt: construct, for any even N greater than or equal to 8, a tiled order of uniform dimension N having global dimension 2N - 8. (C) 1997 Academic Press.

[发布日期] 1997-06-15