We study the relationship between depth and regularity of a homogeneous ideal I and those of (I, f) and I : f, where f is a linear form or a monomial. Our results have several interesting consequences on depth and regularity of edge ideals of hypergraphs and of powers of ideals.
CITATION STYLE
Caviglia, G., Hà, H. T., Herzog, J., Kummini, M., Terai, N., & Trung, N. V. (2019). Depth and regularity modulo a principal ideal. Journal of Algebraic Combinatorics, 49(1), 1–20. https://doi.org/10.1007/s10801-018-0811-9
Mendeley helps you to discover research relevant for your work.