Geodesic
Incompatible transformations of principal ideal rings
Diskretnaya Matematika, Tome 19 (2007) no. 1, pp. 50-59.

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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 $A\to A\mathfrak m$, where $\mathfrak m$ is some ideal of the ring $A$. 
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A. V. Akishin. Incompatible transformations of principal ideal rings. Diskretnaya Matematika, Tome 19 (2007) no. 1, pp. 50-59. http://geodesic.mathdoc.fr/item/DM_2007_19_1_a6/

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