Solving quadratic equations over polynomial rings of characteristic two.

Título inglés	Solving quadratic equations over polynomial rings of characteristic two.
Título español	Resolución de ecuaciones cuadráticas sobre anillos polinómicos de característica dos.
Autor/es	Cherly, Jorgen ; Gallardo, Luis ; Vaserstein, Leonid ; Wheland, Ethel
Organización	Dep. Math. Univ. Brest, Brest, Francia;Dep. Math. Penn State Univ., University Park (Pennsylvania), Estados Unidos;Dep. Math. Univ. Akron, Akron (Ohio), Estados Unidos
Revista	0214-1493
Publicación	1998, 42 (1): 131-142, 11 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We are concerned with solving polynomial equations over rings. More precisely, given a commutative domain A with 1 and a polynomial equation antn + ...+ a0 = 0 with coefficients ai in A, our problem is to find its roots in A. We show that when A = B[x] is a polynomial ring, our problem can be reduced to solving a finite sequence of polynomial equations over B. As an application of this reduction, we obtain a finite algorithm for solving a polynomial equation over A when A is F[x1, ..., xN] or F(x1, ..., xN) for any finite field F and any number N of variables. The case of quadratic equations in characteristic two is studied in detail.
Clasificación UNESCO	120113
Palabras clave español	Ecuaciones polinómicas ; Anillos de polinomios ; Grupos finitos
Código MathReviews	MR1628154
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