Oana Veliche

activity

20042026

most citedGrowth in the minimal injective resolution of a local ring

33 citations · 55 across the 17 of their papers we have counts for

collaborators

22 papers

math.AC2026

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

Rachel Diethorn, Sema Güntürkün, 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.AC2025

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…

math.AC2025

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

Rachel Diethorn, Sema Güntürkün, 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.AC2022★ 1 cited

Artinian Gorenstein algebras of embedding dimension four and socle degree three

Pedro Macias Marques, Oana Veliche, Jerzy Weyman

We prove that in the polynomial ring $Q = k [x, y, z, w]$ , with $k$ an algebraically closed field of characteristic zero, all Gorenstein homogeneous ideals $I$ such tha…

math.AC2022

Iterated Mapping Cones on the Koszul Complex and Their Application to Complete Intersection Rings

Van C. Nguyen, Oana Veliche

Let $(R, m, k)$ be a complete intersection local ring, $K$ be the Koszul complex on a minimal set of generators of $m$ , and $A = H (K)$ be its homology alge…

math.AC2021

Three takes on almost complete intersection ideals of grade 3

Lars Winther Christensen, Oana Veliche, Jerzy Weyman

We are interested in the structure of almost complete intersection ideals of grade 3. We give three constructions of these ideals and their free resolutions: one from the commutati…