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:

    Histories are more full of examples of the fidelity of dogs than of friends.
    Alexander Pope (1688–1744)

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

    There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.
    Bernard Mandeville (1670–1733)