Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895940 | Journal of Algebra | 2018 | 16 Pages |
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+2câ1 and characterize when equality holds. Lower bounds for the individual betti numbers are given as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Adam Boocher, James Seiner,