Abstract
It is shown that for every positive integer r there is a (left and right) noetherian domain, of Krull dimension 1, that has an indecomposable projective module of uniform-rank r. Direct-sum decompositions of free modules over this domain need not satisfy uniqueness of the number of indecomposable summands. If desired, the domain can be taken to be an order over a discrete valuation ring, in a finite-dimensional division algebra over a global field.
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