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Linear subspace
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=== Lattice of subspaces === The operations [[#Intersection|intersection]] and [[#Sum|sum]] make the set of all subspaces a bounded [[modular lattice]], where the [[zero vector space|{0} subspace]], the [[least element]], is an [[identity element]] of the sum operation, and the identical subspace ''V'', the greatest element, is an identity element of the intersection operation.
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