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A NEW DECISION METHOD FOR ELEMENTARY ALGEBRA
A. Tarski [4] has given a decision method for elementary algebra. In essence this comes to giving an algorithm for deciding whether a given finite set of polynomial inequalities has a solution. BelowExpand
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Intuitive Probability on Finite Sets
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Reduction of Singularities of the Differential Equation Ady = Bdx
Let k [ [X, Y]] be the ring of formal power series in two letters over an algebraically closed base field k of characteristic zero, let A, B C k [ [X, Y]] be elements without non-unit common divisor,Expand
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Constructions in algebra
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An elimination theory for differential algebra
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THE HYPERPLANE SECTIONS OF NORMAL VARIETIES
covered in that investigation show, however, that we have in them a class of varieties demanding study for its own sake. Another very good, but in one sense probably more transient, reason for theExpand
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Derivations and integral closure
Let d? be an integral domain containing the rational numbers, Σ its quotient field, D a derivation of Σ, and &1 the ring of elements in Σ quasi-integral over &. It is shown that if £? then Dέ?f c &'.
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Prime ideals and integral dependence
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What is Noetherian?
SuntoRecentemente F. Richman ha risolto alcuni problemi di costruzione per un'ampia classe d'anelli di polinomiR[X2,...,Xn], incluso il caso in cuiR=Z, anello degli interi. Questi risultati dipendonoExpand
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