
#1
Nov1205, 09:20 AM

P: 42

Let S = {RZ}, 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 1/21/2=0 so S is not closed under subtraction so is not a subring.
is that right? 



#2
Nov1205, 11:43 AM

Sci Advisor
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P: 9,428

what do you think? and why do you think it? if i say you are wrong, would you believe me? why or why not?




#3
Nov1205, 12:11 PM

P: 42

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.




#4
Nov1205, 01:06 PM

Sci Advisor
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P: 2,589

subring?
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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