ANNIHILATORS IN ONE-SIDED IDEALS GENERATED BY COEFFICIENTS OF ZERO-DIVIDING POLYNOMIALS

Ideals Generated by Exponential-Polynomials

In several problems in Harmonic Analysis, .and in Number Theory as well, lemmas on small values of holomorphic functions play an important role. Let us give first an example from Harmonic Analysis. distributions with compact support in 17% " whose Fourier transforms satisfy, in C " , a lower estimate of the form (0.2) with v, ,..., v, also distributions with compact support 131, 33). In many ex...

On One-Sided Ideals of Rings of Linear Transformations

Intersections of Sequences of Ideals Generated by Polynomials

We present a method for determining the reduced Grobner basis with respect to a given admissible term order of order type ! of the intersection ideal of an in nite sequence of polynomial ideals. As an application we discuss the Lagrange type interpolation on algebraic sets and the \approximation" of the ideal I of an algebraic set by zero dimensional ideals, whose a ne Hilbert functions conver...

ONE - SIDED k - IDEALS ANDh - IDEALS IN SEMIRINGSH

ideals of these kinds; congruence class semirings. Abstract: Since they are closer related to the ring-theoretical concept of ideals than arbitrary semiring ideals, two-sided k-ideals and h-ideals occur in several statements on semirings. In this paper we investigate those ideals and also left-sided ones in arbitrary semirings S with commutative addition. For instance, we prove (for the rst tim...

One Sided Ideals and Carlson’s Theorem

Using left ideals, right ideals, and the smallest two sided ideal in a compact right topological semigroup, we derive an extension of the Main Lemma to Carlson’s Theorem. This extension involves an infinite sequence of variable words over a finite alphabet, some of which are required to have the variable as the first letter and others of which are required to have the variable