Zur Theorie der Polynomideale und Resultanten

  title={Zur Theorie der Polynomideale und Resultanten},
  author={Kurt Hentzelt and Emmy Noether},
  journal={Mathematische Annalen},
Die Dissertation von Grete Hermann: Effiziente algorithmische Methoden für Polynomringe auf dem Weg zur Computeralgebra
Grete Hermann wurde 1925 in Gottingen als erste Doktorandin von Emmy Noether (1882–1935) promoviert. Als Thema hatte Noether ihr die Ausarbeitung von Teilen der Dissertation von Kurt Hentzelt (gef.Expand
An inequality for warped product submanifolds of a locally product Riemannian manifold
Recently, Sahin studied the warped product semi-slant submanifolds of locally product Riemannian manifolds. In this paper, we obtain some geometric properties of such submanifolds with an example.Expand
Height bounds, nullstellensatz and primality
ABSTRACT In this study, we find height bounds in the polynomial ring over the field of algebraic numbers to test the primality of an ideal. We also obtain height bounds in the arithmeticExpand
Divisor function and bounds in domains with enough primes
In this note, first we show that there is no uniform divisor bound for the Bezout identity using Dirichlet's theorem on arithmetic progressions. Then, we discuss for which rings the absolute valueExpand
Bounds for the Castelnuovo-Mumford regularity
We extend the “linearly exponential” bound for the Castelnuovo-Mumford regularity of a graded ideal in a polynomial ring K[x1, . . . , xr] over a field (established by Galligo and Giusti inExpand
Castelnuovo-Mumford regularity of deficiency modules
Let $d \in \N$ and let $M$ be a finitely generated graded module of dimension $\leq d$ over a Noetherian homogeneous ring $R$ with local Artinian base ring $R_0$. Let $\beg(M)$, $\gendeg(M)$ andExpand
Ideal membership in polynomial rings over the integers
We will reproduce a proof, using Hermann's classical method, in Section 3 below. Note that the computable character of this bound reduces the question of whether fo G (fi,..., fn) for given fj G F[X]Expand
We extend the regularity criterion of Bayer-Stillman for a graded ideal a of a polynomial ring K[x] := K[x0, · · · ,xr] over an infinite field K, to the situation of a graded submodule M of aExpand
Cohomological invariants of coherent sheaves over projective schemes: a survey
We give a survey on certain results related to the cohomology of projective schemes with coefficients in coherent sheaves. In particular we present results on cohomological patterns, cohomologicalExpand