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On the Homological Dimension of Valuated Vector Spaces
Published online by Cambridge University Press: 20 November 2018
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Following L. Fuchs [1], we define a valuated vector space to be a vector space V with a valuation from V to a totally ordered set Γ in which every nonempty subset has a supremum. It is assumed that Γ has a maximum element . A standard model for Γ is a closed initial segment of ordinals with the symbol ∞ adjoined.
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- Copyright © Canadian Mathematical Society 1981
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