Sentence examples for a primary ideal from inspiring English sources

In particular, a primary ideal is completely determined by its characteristic space at any zero point.

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

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

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.

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∞.

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.

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).

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.

Because measuring the symptom improvement rate was a primary objective in IDEAL-2, all patients were symptomatic and were required to have a Lung Cancer Subscale score of 24 or less at trial entry.

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