# Complexity of Ring Morphism Problems

@article{Kayal2006ComplexityOR, title={Complexity of Ring Morphism Problems}, author={Neeraj Kayal and Nitin Saxena}, journal={computational complexity}, year={2006}, volume={15}, pages={342-390} }

Abstract.We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem of counting automorphisms of a ring. This counting problem is shown to be in the functional version of the complexity class AM ∩ coAM and hence is not NP-complete unless the polynomial hierarchy collapses. As a “positive” result we show that deciding whether a given ring has a non-trivial automorphism can be done in… CONTINUE READING

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## Algorithmes pour les anneaux finis

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## Algorithms for finite rings

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## Yet Another Reduction from Graph to Ring Isomorphism Problems

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## An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank

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## Deterministic polynomial-time test for prime ideals in a Dedekind domain with finite rank

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