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Some Results on v-Multiplication Rings

Published online by Cambridge University Press:  20 November 2018

Malcolm Griffin
Malcolm Griffin*
Affiliation:
Applied Mathematics Division, D.S.I.R., Wellington, New Zealand
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A family Ω of valuations of the field K is said to be of finite character if only a finite number of valuations are non-zero at any non-zero element of K. If w ∈ Ω has ring and maximal ideal , then A = ∩w∈Ω is said to be defined by Ω and ∩ A is a prime ideal called the centre of w on A and denoted by Z(w). If = Az(w), then w is said to be an essential valuation for A. A domain defined by a family of finite character in which every valuation is essential is called a ring of Krull type.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 710 - 722
Copyright
Copyright © Canadian Mathematical Society 1967

References

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