Subring math help

  1. Let S = {R-Z}, the set of all reals that are not integers. Is S a subring of R? I think not because 1/2 is in S but 1/2-1/2=0 so S is not closed under subtraction so is not a subring.

    is that right?
     
  2. jcsd
  3. mathwonk

    mathwonk 9,814
    Science Advisor
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    what do you think? and why do you think it? if i say you are wrong, would you believe me? why or why not?
     
  4. i think im right, im asking because some of the kids in my class said zero is not an integer and they said i should of picked two distinct elements to show its not closed but i said it didnt matter.
     
  5. AKG

    AKG 2,585
    Science Advisor
    Homework Helper

    In which class are you learning about rings where the students don't believe that 0 is an integer and believe that you have to pick two distinct elements to show it's not closed?
     
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