THE COMPLEXITY OF THE EQUIVALENCE PROBLEM OVER FINITE RINGS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 193-199
Voir la notice de l'article provenant de la source Cambridge
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)).
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
@article{10_1017_S001708951100053X,
author = {HORV\'ATH, G\'ABOR},
title = {THE {COMPLEXITY} {OF} {THE} {EQUIVALENCE} {PROBLEM} {OVER} {FINITE} {RINGS}},
journal = {Glasgow mathematical journal},
pages = {193--199},
year = {2012},
volume = {54},
number = {1},
doi = {10.1017/S001708951100053X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951100053X/}
}
TY - JOUR AU - HORVÁTH, GÁBOR TI - THE COMPLEXITY OF THE EQUIVALENCE PROBLEM OVER FINITE RINGS JO - Glasgow mathematical journal PY - 2012 SP - 193 EP - 199 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951100053X/ DO - 10.1017/S001708951100053X ID - 10_1017_S001708951100053X ER -
Cité par Sources :