Zur Theorie der Polynomideale und Resultanten

  title={Zur Theorie der Polynomideale und Resultanten},
  author={Kurt Hentzelt and Emmy Noether},
  journal={Mathematische Annalen},

Height bounds, nullstellensatz and primality

  • H. Göral
  • Mathematics, Computer Science
    Communications in Algebra
  • 2018
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 arithmetic

Physics and Beyond: Essay review of Kay Herrmann (Ed.): Grete Henry-Hermann: Philosophie–Mathematik–Quantenmechanik. Springer: Wiesbaden 2019, xv + 663 pp.

Using the volume of her works and correspondence recently edited by K. Herrmann, I assess the significance of Grete Hermann's work.

Die Dissertation von Grete Hermann: Effiziente algorithmische Methoden für Polynomringe auf dem Weg zur Computeralgebra

  • P. Ullrich
  • Philosophy
    Frauen in Philosophie und Wissenschaft. Women Philosophers and Scientists
  • 2019
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.

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.

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 value

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 in

The Question of Finitely Many Steps in Polynomial Ideal Theory

In the present work, the domains in which ideals are defined are polynomial domains. An ideal will be called given if a basis of the ideal is known, and computable if a basis can be computed. This

Castelnuovo-Mumford regularity and degrees of generators of graded submodules

We extend the regularity criterion of Bayer-Stillman for a graded ideal $\mathfrak {a}$ of a polynomial ring $K[\underline {\bf x}] := K [\underline {\bf x}_0, \dots , {\bf x}_r]$ over an infinite