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Vector space

Set

context V,F
definiendum V,F,vectorSpace(V,F)
context V,F,module(V,F)
context Ffield(F)

Ramifications

Discussion

A vector space is a F-module over V, where F is a field, not just a ring.

One speaks of an F-vector space over V. Here F and V are just sets.

Reference

Wikipedia: Vector space

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