arXiv:1706.09866 Abstract | arXiv Analytics

arXiv:1706.09866 [math.AC]Abstract References Reviews Resources

Lower Bounds for Betti Numbers of Monomial Ideals

Published 2017-06-29Version 1

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 2^c + 2^{c-1} and characterize when equality holds. Lower bounds for the individual betti numbers are given as well.

Comments: 11 pages

Categories: math.AC

Subjects: 13D02

Keywords: monomial ideal, lower bounds, individual betti numbers, regular sequence, equality holds

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