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On the Homological Dimension of Valuated Vector Spaces

Published online by Cambridge University Press:  20 November 2018

Errin Erb White
Errin Erb White*
Affiliation:
Department of Mathematics, Auburn University, Auburn, Alabama 36830
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 97 - 100
Copyright
Copyright © Canadian Mathematical Society 1981

References

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3. Hill, P., “Criteria for freeness in groups and valuated vector spaces”, Abelian group theory, Lecture Notes in Mathematics, Vol. 616, Springer-Verlag, Berlin, Heidelberg, New York, 1977, pp. 140-157.Google Scholar
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