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Projective Systems on Trees and Valuation Theory
Published online by Cambridge University Press: 20 November 2018
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It is our aim in this note to introduce methods from homological algebra in the study of some problems in valuation theory. In particular, we will use such methods to give a new, and, in some respect, simpler proof of a well-known theorem of Krull and Ribenboim; see (2). We shall also show that the same methods can be used to prove the Riemann-Roch theorem for algebraic curves and the Weierstrass product theorem.
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- Copyright © Canadian Mathematical Society 1968
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