Criterion for the polynomial solutions of certain first order differential equations
Huffstutler, R.G., Smith, L.D., Liu, Ya Yin (1972)
Portugaliae mathematica
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Displaying similar documents to “The set of points at which a polynomial map is not proper”
Criterion for the polynomial solutions of certain first order differential equations
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Solving quadratic equations over polynomial rings of characteristic two.
Jorgen Cherly, Luis Gallardo, Leonid Vaserstein, Ethel Wheland (1998)
Publicacions Matemàtiques
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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,...