16 citations · 20 across the 4 of their papers we have counts for
5 papers
On the Ratliff-Rush closure of an ideal of a one-dimensional ring
Veronica Crispin Quinonez, Marco D'Anna, Vincenzo Micale
Let be an ideal in a Noetherian ring and let be its Ratliff-Rush closure. In this paper we study the asymptotic Ratliff-Rush number, i.e. $h(I)=\min\{n\in\m…
Results on the normality of square-free monomial ideals and cover ideals under some graph operations
Ibrahim Al-Ayyoub, Mehrdad Nasernejad, Kazem Khashyarmanesh +2
In this paper, we introduce techniques for producing normal square-free monomial ideals from old such ideals. These techniques are then used to investigate the normality of cover i…
On ideals generated by two generic quadratic forms in the exterior algebra
Veronica Crispin Quiñonez, Samuel Lundqvist, Gleb Nenashev
Based on the structure theory of pairs of skew-symmetric matrices, we give a conjecture for the Hilbert series of the exterior algebra modulo the ideal generated by two generic qua…
Componentwise linearity of ideals arising from graphs
V. Crispin Quinonez, E. Emtander
Let be a simple undirected graph on vertices. Francisco and Van Tuyl have shown that if is chordal, then is componentwise line…
Ratliff-Rush Monomial Ideals
Veronica Crispin Quiñonez
Let be a regular -primary ideal in . Then the Ratliff-Rush ideal associated to is denoted by and is defined as the largest ideal co…