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THE COMPLEXITY OF THE EQUIVALENCE PROBLEM OVER FINITE RINGS

Published online by Cambridge University Press:  09 December 2011

GÁBOR HORVÁTH
GÁBOR HORVÁTH*
Affiliation:
Institute of Mathematics, University of Debrecen, Pf. 12, Debrecen, 4010, Hungary e-mail: ghorvath@science.unideb.hu
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Abstract

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We investigate the complexity of the equivalence problem over a finite ring when the input polynomials are written as sum of monomials. We prove that for a finite ring if the factor by the Jacobson radical can be lifted in the centre, then this problem can be solved in polynomial time. This result provides a step in proving a dichotomy conjecture of Lawrence and Willard (J. Lawrence and R. Willard, The complexity of solving polynomial equations over finite rings (manuscript, 1997)).

Keywords

16Z0516P10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 1 , January 2012 , pp. 193 - 199
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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