Extension and Contraction of Ideals

In commutative algebra, the extension and contraction of ideals are operations performed on sets of ideals.

Read more about Extension And Contraction Of Ideals:  Extension of An Ideal, Contraction of An Ideal, Properties, Extension of Prime Ideals in Number Theory

Famous quotes containing the words extension and/or ideals:

    Where there is reverence there is fear, but there is not reverence everywhere that there is fear, because fear presumably has a wider extension than reverence.
    Socrates (469–399 B.C.)

    Institutional psychiatry is a continuation of the Inquisition. All that has really changed is the vocabulary and the social style. The vocabulary conforms to the intellectual expectations of our age: it is a pseudo-medical jargon that parodies the concepts of science. The social style conforms to the political expectations of our age: it is a pseudo-liberal social movement that parodies the ideals of freedom and rationality.
    Thomas Szasz (b. 1920)