Results 1 to 10 of about 667 (161)
On extensions of valuations to simple transcendental extensions [PDF]
Proceedings of the Edinburgh Mathematical Society, 1989 Let ν0 be a valuation of a field K0 with residue field k0 and value group Z, the group of rational integers. Let K0(x) be a simple transcendental extension of K0. In 1936, Maclane [3] gave a method to determine all real valuations V of K0(x) which are extensions of ν0.
Khanduja, Sudesh K., Garg, Usha
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A structure theorem for simple transcendental extensions of valued fields [PDF]
Proceedings of the American Mathematical Society, 1988 The fundamental inequality for a finite algebraic extension of a valued field relates the degree of the extension to the ramification indices and residue degrees, and of primary importance is the question of when this inequality becomes equality.
Matignon, Michel, Ohm, Jack
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Simple transcendental extensions of valued fields II: A fundamental inequality
Kyoto Journal of Mathematics, 1985 Let \(K_ 0\subset K=K_ 0(x)\) be fields with x transcendental over \(K_ 0:\) let \(v_ 0\) be a valuation of \(K_ 0\) and v be an extension of \(v_ 0\) to K; and let \(V_ 0\subset V\), \(k_ 0\subset k\), and \(G_ 0\subset G\) be the respective valuation rings, residue fields, and value groups. This paper is concerned with extensions such that \(k/k_ 0\)
Matignon, Michel, Ohm, Jack
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On almost simple transcendental field extensions
International Journal of Algebra, 2015 We study some properties of almost simple transcendental eld extensions in order to analyze the endomorphisms ring of algebraically bounded modules where is a semigenerically tame nite-dimensional k algebra, k a perfect eld.
Antonio Gonzalez Fernandez +2 more
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The ruled residue theorem for simple transcendental extensions of valued fields [PDF]
Proceedings of the American Mathematical Society, 1983 A proof is given for the Ruled Residue Conjecture, which asserts that if υ \upsilon is a valuation of a simple transcendental field extension K 0 ( x ) {K_0}(x) and υ 0 {\upsilon _0} is ...
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A uniqueness problem in simple transcendental extensions of valued fields [PDF]
Proceedings of the Edinburgh Mathematical Society, 1994 Let υ0 be a valuation of a field K0 with value group G0 and υ be an extension of υ0 to a simple transcendental extension K0(x) having value group G such that G/G0 is not a torsion group. In this paper we investigate whether there exists t∈K0(x)/K0 with υ(t) non-torsion mod G0 such that υ is the unique extension to K0(x) of its restriction to the ...
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Kantian Transcendental Idealism in Physics Teaching: The Universe on a Sheet of Paper
Revista de Enseñanza de la FísicaOne of the most attractive aspects of Theoretical Physics is that its implications are often more fascinating than fiction. Both Philosophy and Physics often use logical reasoning that involves experiments that cannot be carried out in practice, but that ...
Tiago de Jesus Santos +2 more
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Plea for Diagonals and Telescopers of Rational Functions
UniverseThis paper is a plea for diagonals and telescopers of rational or algebraic functions using creative telescoping, using a computer algebra experimental mathematics learn-by-examples approach. We show that diagonals of rational functions (and this is also
Saoud Hassani +2 more
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Valuation rings and simple transcendental field extensions
Journal of Pure and Applied Algebra, 1982 AbstractIf a valuation ring V on a simple transcendental field extension K0(X) is such that the residue field k of V is not algebraic over the residue field k0 of V0=V∩K0, then for k0 a perfect field it is shown that k is obtained from k0 by a finite algebraic followed by a simple transcendental field extension.
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Re-evaluating the structure of consciousness through the symintentry hypothesis. [PDF]
Front Psychol, 2023 Rail D, Selby A.
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