Article ID Journal Published Year Pages File Type
4587178 Journal of Algebra 2010 8 Pages PDF
Abstract

We study reverse lex ideals in a polynomial ring, and compare their properties to those of lex ideals. In particular we provide an analogue of Green's Theorem for reverse lex ideals. We also compare the Betti numbers of strongly stable and square-free strongly stable monomial ideals to those of reverse lex ideals.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory