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We consider problems on transformations of principal ideal rings incompatible with some epimorphisms of a given ring. We introduce the notion of a maximally incompatible transformation and describe all maximally incompatible transformations of the principal ideals ring A by a homomorphism A → A, where is some ideal of the ring A.
Published Online: 2007-06-27
Published in Print: 2007-06-19
Copyright 2007, Walter de Gruyter