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Published online by Cambridge University Press: 20 November 2018
A valuation of a ring K is a function
where A is an archimedean ordered field and W has the properties of the absolute valuation; see (2, chap. X). The theory was extended in 1936 by K. Mahler (1), who introduced the concept of pseudovaluations. Whereas for a valuation we must always have
for a pseudovaluation it is sufficient that