KnowraVector spaceLinked fromLinked fromThe 56 pages that link to Vector space, each with the reason it gives.All 56Broader topic 2Related 3Narrower topic 50Compared with 1Algebra over a fieldNarrower topic: An algebra is first a vector space, with multiplication added.Structure theorem for finitely generated modules over a principal ideal domainCompared with: Over a field, torsion summands disappear, leaving only dimension.Bra–ket notationNarrower topic: Kets obey vector addition and scalar multiplication.Dieudonné's theoremNarrower topic: The theorem lifts projective geometry back to transformations of these underlying spaces.Operator overloadingNarrower topic: Overloaded arithmetic notation can make vector operations resemble their abstract algebraic definitions.Steinitz exchange lemmaNarrower topic: The lemma applies to vectors and linear combinations within this algebraic structure.Previous2 of 2