On 18 April 2012 15:50, diophan <[email protected]> wrote:
> I'll check out the reference. If it makes the situation any better the ring
> is a quotient of a polynomial ring over a finite field.

If it's a quotient of a one-variable polynomial ring, you can just
factor the defining polynomial, can't you? The quotient will have
non-trivial idempotents iff the polynomial has more than one
irreducible factor.

David

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