Inert - Number Theory

Number Theory

In the branch of mathematics known as algebraic number theory, a prime ideal is said to be inert if it is still prime when considered in an extension field. Such a prime might have instead split as a product of other prime ideals, but by being inert it remains essentially unchanged.

Read more about this topic:  Inert

Famous quotes containing the words number and/or theory:

    “The poetic act consists of suddenly seeing that an idea splits up into a number of equal motifs and of grouping them; they rhyme.”
    —Stéphane Mallarmé (1842–1898)

    “The weakness of the man who, when his theory works out into a flagrant contradiction of the facts, concludes “So much the worse for the facts: let them be altered,” instead of “So much the worse for my theory.””
    —George Bernard Shaw (1856–1950)