Definition 2

Tag 05JQ, permanent. Cite it as [Bourbaki, Tag 05JQ].

Algebra, chapter II, § 1. Modules

A left (resp. right) vector space over a field K is a left (resp. right) K-module.

The elements of a vector space are sometimes called vectors.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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