Separable Algebra - Examples

Examples

If K is a field and G is a finite group such that the order of G is invertible in K, then the group ring K is a separable K-algebra. A separability idempotent is given by .

Read more about this topic:  Separable Algebra

Famous quotes containing the word examples:

    In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.
    Michel de Montaigne (1533–1592)

    No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.
    André Breton (1896–1966)

    It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.
    —G.C. (Georg Christoph)