Sentence examples for primary ideals of from inspiring English sources

It is no wonder that when the Grateful Dead established the Rex Foundation in 1983 to proactively guide their philanthropic giving, they formalized an approach to community engagement that extended from the primary ideals of the 1960s.

Let E be a compact subset of G, the union set of nontrivial Gleason parts, and I(E) be the associate primary ideal of H∞.

There are several deferent definitions of a fuzzy prime ideal and a fuzzy primary ideal of R.

We investigate the structure of primary ideals at infinity in spaces of bounded analytic functions in the lower half-plane, having a specified degree of smoothness on the real line (varying from very low to quasianalytic).

The concepts of -fuzzy semiprime, prime, semiprimary and primary ideals are introduced, and the characterizations of such fuzzy ideals are obtained based on a -cut set.

For each x∈ΦB, let πB x) be the collection of all closed primary ideals contained in the maximal ideal M x)="x−1 0).

In the meantime, we also proposed several concepts of various -fuzzy ideals such as a -fuzzy prime ideal and a -fuzzy primary ideal, and then we characterized their properties and obtained several equivalence conditions of a -fuzzy prime ideal and a -fuzzy primary ideal.

Similarly, we can obtain corresponding conclusions about a -fuzzy semiprime ideal, a -fuzzy primary ideal and a -fuzzy semiprimary ideal.

A major result in Noether's 1921 paper is the Lasker Noether theorem, which extends Lasker's theorem on the primary decomposition of ideals of polynomial rings to all Noetherian rings.

In this paper, we will introduce the concepts of -fuzzy prime, fuzzy semiprime, fuzzy primary and fuzzy semiprimary ideals of a ring.

Lasker was also a research mathematician who was known for his contributions to commutative algebra, which included proving the primary decomposition of the ideals of polynomial rings.