Ueber die Theorie der algebraischen Formen

@article{HilbertUeberDT,
  title={Ueber die Theorie der algebraischen Formen},
  author={David R. Hilbert},
  journal={Mathematische Annalen},
  volume={36},
  pages={473-534}
}
Symmetric polynomials in the variety generated by Grassmann algebras
Let [Formula: see text] denote the variety generated by infinite-dimensional Grassmann algebras, i.e. the collection of all unitary associative algebras satisfying the identity [Formula: see text],Expand
J an 2 01 9 From analytical mechanical problems to rewriting theory through
This note surveys the historical background of the Gröbner basis theory for D-modules and linear rewriting theory. The objective is to present a deep interaction of these two fields largely developedExpand
From analytical mechanical problems to rewriting theory through M. Janet
This note surveys the historical background of the Gröbner basis theory for D-modules and linear rewriting theory. The objective is to present a deep interaction of these two fields largely developedExpand
Properties of the resolution of almost Gorenstein algebras
We study properties of the resolution of almost Gorenstein artinian algebras $R/I,$ i.e. algebras defined by ideals $I$ such that $I=J+(f),$ with $J$ Gorenstein ideal and $f\in R.$ Such algebrasExpand
Geometrically Reductive Groups and Finitely Generated Rings of Invariants
We discuss when rings of invariants of algebras over an algebraically closed field are finitely generated. We prove Nagata’s Theorem, which states that geometrically reductive groups have finitelyExpand
Conditions for Additional Roots from Maximal-Rank Minors of Macaulay Matrices
Necessary conditions, under which the maximal-rank minors of a (possibly singular) Macaulay matrix of a polynomial system vanish, are analyzed. It is shown that the vanishing of the maximal-rankExpand
Ein Beweis des Hilbertschen Basissatzes.
Der Basissatz von Hubert [2] besagt: Ist ein kommutativer Ring R mit Einselement ein Noether-Ring, so auch der zugehörige Polynomring R[x]. Der folgende Beweis scheint bisher nicht in der LiteraturExpand
$\mathbb{Z}_k^{(r)}$-Algebras, FQH Ground States, and Invariants of Binary Forms
A prominent class of model FQH ground states is those realized as correlation function of Z k -algebras. In this paper, we study the interplay between these algebras and their correspondingExpand
August 2021 SYZYGIES OVER A POLYNOMIAL RING
We discuss results and open problems on graded minimal Free Resolutions over polynomial rings.
...
1
2
3
4
5
...