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Solving quadratic equations over polynomial rings of characteristic two.

Jorgen CherlyLuis GallardoLeonid VasersteinEthel Wheland — 1998

Publicacions Matemàtiques

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...

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