Sequentially Cohen-Macaulay monomial ideals of embedding dimension four Page 1 Bull.
Math. Soc. Sci. Math. Roumanie Tome 50(98) No. 2, 2007, 99 110 Sequentially Cohen-Macaulay …

Three generated, squarefree, monomial ideals Page 1 Bull. Math. Soc. Sci. Math. Roumanie
Tome 58(106) No. 3, 2015, 359-368 Three generated, squarefree, monomial ideals by Dorin …

Let I⊇ J be two squarefree monomial ideals of a polynomial algebra over a field. Suppose
that I is generated by one squarefree monomial of degree> d> 0, and other squarefree …

Let I⊋ J be two squarefree monomial ideals of a polynomial algebra over a field generated
in degree≥ d, resp.≥ d+ 1. Suppose that I is either generated by four squarefree monomials …

In this paper we give upper bounds for the Cohen-Macaulay type of rings of the type R/I
where R is a polynomial ring and I ranges over the class of either perfect ideals with given …

Let I⊋ J be two square free monomial ideals of a polynomial algebra over a field generated
in degree≥ 1, resp.≥ 2. Almost always when I contains precisely one variable, the other …

Abstract Let I⊂ R n= k [X 1,…, X n](X 1,…, X n) be a radical ideal generated by monomials in
X 1,…, X n (k is a field). One calls I minimal non-Cohen-Macaulay if R n/I is not Cohen …

Let šR, m, KŽ be a d-dimensional Cohen-Macaulay local ring with infinite residue field K. Let
I be a m-primary ideal of R and let GšIŽ ¼ Čn! 0I n/I nž1 be the associated graded ring of I …

If m is the maximal ideal of a d-dimensional local Cohen-Macaulay ring A, then ZJ (m), the
number of generators in a minimal basis of m, is bounded above by e (A)+ d-1 where e (A) is …

Let (A, M) be a local Cohen–Macaulay ring of dimension d. Let I be an M-primary ideal and
let J be the ideal generated by a maximal superficial sequence for I. Under these …