Oana Veliche

collaborators

3 papers

math.AC2026

Homological properties of rings defined by $n + 1$ general quadrics in $n$ variables

Rachel Diethorn, Sema GÃ¼ntÃ¼rkÃ¼n, Alexis Hardesty +4

We study the almost complete intersection ring $R$ defined by $n + 1$ general quadrics in a polynomial ring in $n$ variables over a field $k$ and a corresponding linked Gorenste…

math.AC2026

A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal

Rachel Diethorn, Sema GÃ¼ntÃ¼rkÃ¼n, Alexis Hardesty +4

We examine the ideal $I = (x_{1}^{2}, \dots, x_{n}^{2}, (x_{1} + \dots + x_{n})^{2})$ in the polynomial ring $Q = k [x_{1}, \dots, x_{n}]$ , where $k$ is a field of characteristic zero or greater than $n$ . We…

math.AC2026

On a minimal free resolution of the residue field over a local ring of codepth 3 of class $T$

Van C. Nguyen, Oana Veliche

Let $R$ be any noetherian local ring with residue field $k$ , and $A$ the homology of the Koszul complex on a minimal set of generators of the maximal ideal of $R$ . In this paper, w…

Homological properties of rings defined by n+1 general quadrics in n variables

A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal

On a minimal free resolution of the residue field over a local ring of codepth 3 of class T

Homological properties of rings defined by $n + 1$ general quadrics in $n$ variables

On a minimal free resolution of the residue field over a local ring of codepth 3 of class $T$