Geodesic
On the Homological Dimension of Valuated Vector Spaces
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 97-100

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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. 
White, Errin Erb. On the Homological Dimension of Valuated Vector Spaces. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 97-100. doi: 10.4153/CMB-1981-015-4
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     title = {On the {Homological} {Dimension} of {Valuated} {Vector} {Spaces}},
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