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