Cohen–Macaulay monomial ideals with given radical
Muhammad Talha Naeem2010, Journal of Pure and Applied Algebra
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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.
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