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Is there a named axiom for this?

  1. Jan 10, 2013 #1
    "The absolute difference between any two naturals/rationals/reals/complex; is also a natural/rational/real/complex."

    This should be fairly intuitive but I was wondering if there was a name for this.
     
  2. jcsd
  3. Jan 10, 2013 #2

    jedishrfu

    Staff: Mentor

    In abstract algebra, they define an operation of addition and define inverses with the statement that adding any two elements produces another element in the ring. These are considered the axioms of the ring.

    http://en.wikipedia.org/wiki/Ring_(mathematics [Broken])

    I think its called the closure axiom.

    http://en.wikipedia.org/wiki/Axiom_of_closure
     
    Last edited by a moderator: May 6, 2017
  4. Jan 10, 2013 #3
    Thank you.
     
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