Madhurima Das posted an Question
April 11, 2021 • 18:08 pm 50 points
  • IIT JAM
  • Mathematics (MA)

Let w be a subspace of a vector space v. under what conditions are there only a finite number of distinct subsets s of w such that s gen- erates n?

Let W be a subspace of a vector space V. Under what conditions are there only a finite number of distinct subsets S of W such that S gen- erates N?

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    Swapnajit das best-answer

    When W is finite dimensional then

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    can you please explain

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    we know that, if finite no of subsets generate W, then W must be finite . hence , the condition is, when W is finite dimensional

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