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The Structure of Ulrich ideals in hypersurfaces

Published 6 May 2019 in math.AC | (1905.02048v2)

Abstract: This paper studies Ulrich ideals in hypersurface rings. A characterization of Ulrich ideals is given. Using the characterization, we construct a minimal free resolution of an Ulrich ideal concretely. We also explore Ulrich ideals in a hypersurface ring of the form R = k[[X, Y]]/(f).

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