Article ID Journal Published Year Pages File Type
4597361 Journal of Pure and Applied Algebra 2010 6 Pages PDF
Abstract

We study the set of Cohen–Macaulay monomial ideals with a given radical. Among this set of ideals are the so-called Cohen–Macaulay modifications. Not all Cohen–Macaulay squarefree monomial ideals admit nontrivial Cohen–Macaulay modifications. It is shown that if there exists one such modification, then there exist indeed infinitely many.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory