Antonino Ficarra

Monomial ideals whose all matching powers are Cohen–Macaulay

Abstract In the present article, we aim to classify monomial ideals whose all matching powers are Cohen–Macaulay. We especially focus our attention on edge ideals. The Cohen–Macaulayness of the last matching power of an edge ideal is characterized, providing an algebraic analog o...

Comparison of Stability Indices of Powers of Graded Ideals

In this paper, we compare the index of ass-stability [Formula: see text] and the index of [Formula: see text]-stability [Formula: see text] of powers of a graded ideal [Formula: see text]. We prove that [Formula: see text] for any graded ideal [Formula: see text] in a 2-dimension...