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:

    Slavery is founded on the selfishness of man’s nature—opposition to it on his love of justice. These principles are in eternal antagonism; and when brought into collision so fiercely as slavery extension brings them, shocks and throes and convulsions must ceaselessly follow.
    Abraham Lincoln (1809–1865)

    War is pillage versus resistance and if illusions of magnitude could be transmuted into ideals of magnanimity, peace might be realized.
    Marianne Moore (1887–1972)