R. Fröberg

collaborators

4 papers

math.AC2025

Generic forms

Ralf Fröberg, Clas Löfwall

We study forms $I = (f_{1}, \dots, f_{r})$ , $° f_{i} = d_{i}$ , in $F$ which is the free associative algebra $k ⟨ x_{1}, \dots, x_{n} ⟩$ or the polynomial ring $k [x_{1}, \dots, x_{n}]$ , where $k$ …

math.AC2023

Hilbert coefficients of quadratic algebras

Ralf Froberg

If $R = k [x_{1}, \dots, x_{n}] / I$ is a graded artinian algebra, then the length of $k [x_{1}, \dots, x_{n}] / I^{s}$ becomes a polynomial in $s$ of degree $n$ for large $s$ . If we write this polyno…

math.AC2023

On Stanley-Reisner rings with linear resolution

Ralf Froberg

For a graph $G$ , Bayer-Denker-Milutinović-Rowlands-Sundaram-Xue study in \cite{B-D-M-R-S-X} a new graph complex $Δ_{k}^{t} (G)$ , namely the simplicial complex with facets that are compl…

math.AC2023

Ideals of generic forms

Ralf Froberg

We determine the Hilbert series of some classes of ideals generated by generic forms of degree two and three, and investigate the difference to the Hilbert series of ideals generat…