Weil Restriction - Weil Restrictions Vs. Greenberg Transforms

Weil Restrictions Vs. Greenberg Transforms

Restriction of scalars is similar to the Greenberg transform, but does not generalize it, since the ring of Witt vectors on a commutative algebra A is not in general an A-algebra.


Read more about this topic:  Weil Restriction

Famous quotes containing the words weil and/or transforms:

    Evil is neither suffering nor sin; it is both at the same time, it is something common to them both. For they are linked together; sin makes us suffer and suffering makes us evil, and this indissoluble complex of suffering and sin is the evil in which we are submerged against our will, and to our horror.
    —Simone Weil (1909–1943)

    Now, since our condition accommodates things to itself, and transforms them according to itself, we no longer know things in their reality; for nothing comes to us that is not altered and falsified by our Senses. When the compass, the square, and the rule are untrue, all the calculations drawn from them, all the buildings erected by their measure, are of necessity also defective and out of plumb. The uncertainty of our senses renders uncertain everything that they produce.
    Michel de Montaigne (1533–1592)