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6. Valuation theory

2003
6.1 Ordered groups and valuations 6.2 Basic ramification theory 6.3 Algebraic extensions 6.4 Logarithmic differentials 6.5 Transcendental extensions 6.6 Deeply ramified ...
Ofer Gabber, Lorenzo Ramero
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Constructive theory of valuations

Communications in Algebra, 1989
Let k be an algebraically closed field of characteristic p ≥ 0, v a discrete rank-one valuation of .We proved, by expliciting the valuation, the existence of discrete rank-one valuations with preassigned singular ideal.Let L be a linear form of Zn.Then the residue field of a discrete valuation v associated with Lisa purely transcendental extension of k,
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Dewey's Theory of Valuation

Ethics, 1945
S INCE Dewey's theory of valuation has probably received its final formulation in his recent monograph on the subject, it is an appropriate time to review and examine this important feature of his social philosophy. His main discussions of value and valuation are familiar and readily available, and therefore I shall not use space in an exposition ...
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Undecidable theories of valuated abelian groups

Mémoires de la Société mathématique de France, 1984
Although written in the context of model theory, this paper should be of interest to abelian group theorists, since the main results state that the theory of finitely valued p-valuated groups whose underlying group is the countable direct sum of copies of \({\mathbb{Z}}(p^ 9)\) is hereditarily undecidable, and so is the theory of countable valued p ...
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The Theory of Valuations

1999
The p-adic numbers were invented at the beginning of the twentieth century by the mathematician Kurt Hensel (1861–1941) with a view to introduce into number theory the powerful method of power series expansion which plays such a predominant role in function theory. The idea originated from the observation made in the last chapter that the numbers f ∈ ℤ
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Valuation Theory

2004
K. Kiyek, J. L. Vicente
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Theory of Valuation

2005
Sudipto Bhattacharya   +1 more
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