Polynomial Ring/properties of The Ring Extension R %e2%8a%82 R

Famous quotes containing the words ring, properties and/or extension:

    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)

    The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.
    John Locke (1632–1704)

    We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.
    Blaise Pascal (1623–1662)