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Categories of affine spaces. (English) Zbl 0683.18008

The author defines the concept of modular category and gives a characterization of such categories. Although the concept is motivated by that of a modular lattice, a modular lattice is not necessarily a modular category.
Reviewer: H.Gonshor

MSC:

18E05 Preadditive, additive categories
06C05 Modular lattices, Desarguesian lattices
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References:

[1] Lawvere, F.W., Some “new” mathematics arising from the study of Grassmann 1844, (1987), unpublished
[2] Mac Lane, S., Categories for the working Mathematician, (1971), Springer Berlin · Zbl 0232.18001
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