what is principal ideal domain?
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A PRINCIPAL IDEAL DOMAIN OR, PID IS
AN INTEGRAL DOMAIN IN WHICH EVERY
IDEAL IS PRINCIPAL CAN BE GENERATED
BY A SINGLE ELEMENT. MORE GENERALLY, A PRINCIPAL IDEAL RING
IS NONZERO COMMUTATIVE RING WHO
IDEAL ARE PRINCIPAL ALTHOUGH SOME
AUTHORS REFERS TO PIDs AS PRINCIPAL RINGS.
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