Journal article
Splittings of monomial ideals
Abstract
We provide some new conditions under which the graded Betti numbers of a monomial ideal can be computed in terms of the graded Betti numbers of smaller ideals, thus complementing Eliahou and Kervaire’s splitting approach. As applications, we show that edge ideals of graphs are splittable, and we provide an iterative method for computing the Betti numbers of the cover ideals of Cohen-Macaulay bipartite graphs. Finally, we consider the frequency …
Authors
Francisco CA; Hà HT; Van Tuyl A
Journal
Proceedings of the American Mathematical Society, Vol. 137, No. 10, pp. 3271–3282
Publisher
American Mathematical Society (AMS)
Publication Date
October 1, 2009
DOI
10.1090/s0002-9939-09-09929-8
ISSN
0002-9939