Extension and Contraction of Ideals - Contraction of An Ideal

Contraction of An Ideal

If is an ideal of B, then is always an ideal of A, called the contraction of to A.

Read more about this topic:  Extension And Contraction Of Ideals

Famous quotes containing the word ideal:

    The ideal of brotherhood of man, the building of the Just City, is one that cannot be discarded without lifelong feelings of disappointment and loss. But, if we are to live in the real world, discard it we must. Its very nobility makes the results of its breakdown doubly horrifying, and it breaks down, as it always will, not by some external agency but because it cannot work.
    Kingsley Amis (1922–1995)