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Closed under addition

  1. Nov 29, 2008 #1
    What does it means by closed under addition
    For eg : As S is closed under addition
    S = {gn : n is a member of integers}
    could anyone elaborate more on this and gimme some example ?

    Does it mean that when something is closed under addition , we only consider addition and nothing else ?
  2. jcsd
  3. Nov 29, 2008 #2


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    Re: Definition

    "Closed under addition" means that the sum of two integers is an integer.

    Note, for example, that the integers are NOT closed under the operation of division, or for that matter, closed under square root extraction.
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