Inner Automorphism - Ring Case

Ring Case

Given a ring R and a unit u in R, the map ƒ(x) = u−1xu is a ring automorphism of R. The ring automorphisms of this form are called inner automorphisms of R. They form a normal subgroup of the automorphism group of R.

Read more about this topic:  Inner Automorphism

Famous quotes containing the words ring and/or case:

    Genius resembles a bell; in order to ring it must be suspended into pure air, and when a foreign body touches it, its joyful tone is silenced.
    Franz Grillparzer (1791–1872)

    True and false are attributes of speech not of things. And where speech is not, there is neither truth nor falsehood. Error there may be, as when we expect that which shall not be; or suspect what has not been: but in neither case can a man be charged with untruth.
    Thomas Hobbes (1588–1679)