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Tiled orders of finite global dimension
1990
Transactions of the American Mathematical Society
We define a projective link between maximal ideals, with respect to which an idealizer preserves being of finite global dimension. Let D be a local Dedekind domain with the quotient ring K, We show that for 2 :::; n :::; 5, every tiled D-order of finite global dimension in (K)n is obtained by iterating idealizers W.r.t. projective links from a hereditary order. For n :::: 6, we give a tiled D-order in (K)n without this property, which is also a counterexample to Tarsy's conjecture, saying that
doi:10.1090/s0002-9947-1990-0968884-4
fatcat:ouaaivro4jghndjmrq77bzarfi