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Lower Bounds for Betti Numbers of Monomial Ideals
Published 29 Jun 2017 in math.AC | (1706.09866v1)
Abstract: Let I be a monomial ideal of height c in a polynomial ring S over a field k. If I is not generated by a regular sequence, then we show that the sum of the betti numbers of S/I is at least 2c + 2{c-1} and characterize when equality holds. Lower bounds for the individual betti numbers are given as well.
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