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Value Groups and Distributivity
Published online by Cambridge University Press: 20 November 2018
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Let F be a skew field with a valuation (also called total) subring B, i.e. x in F\ B implies x-1 in B. Such rings are useful not only in the investigation and construction of division algebras (see for example [5],[6],[12]) but also in geometry ([15]).
Associated with B is an invariant subring R of F and a value group G. We investigate the relationship between properties like the distributivity of R and properties like being lattice ordered of G.
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- Copyright © Canadian Mathematical Society 1991
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