THE COMPLEXITY OF THE EQUIVALENCE PROBLEM OVER FINITE RINGS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 193-199

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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)).
DOI : 10.1017/S001708951100053X
Mots-clés : 16Z05, 16P10
HORVÁTH, GÁBOR. THE COMPLEXITY OF THE EQUIVALENCE PROBLEM OVER FINITE RINGS. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 193-199. doi: 10.1017/S001708951100053X
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