(New page: How about the ring R=Z (the integers). Every element in the integers is a nonzero divisor and there is no way to get a multiplicative inverse, right? (since no fractions and no modulos an...) |
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How about the ring R=Z (the integers). Every element in the integers is a nonzero divisor and there is no way to get a multiplicative inverse, right? (since no fractions and no modulos and probably something else too)? Thus wouldn't any element of the integers be a nonzero element that we are looking for? Am I on the right track? | How about the ring R=Z (the integers). Every element in the integers is a nonzero divisor and there is no way to get a multiplicative inverse, right? (since no fractions and no modulos and probably something else too)? Thus wouldn't any element of the integers be a nonzero element that we are looking for? Am I on the right track? | ||
-Josie | -Josie | ||
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| + | Yea, that's the same example I found. You were on the right track, but to put it more succinctly you can observe that Z is an integral domain, meaning if an element isn't a unity then it is a nonzero element.<br> | ||
| + | --[[User:Jniederh|Jniederh]] 02:41, 11 March 2009 (UTC) | ||
Latest revision as of 22:41, 10 March 2009
How about the ring R=Z (the integers). Every element in the integers is a nonzero divisor and there is no way to get a multiplicative inverse, right? (since no fractions and no modulos and probably something else too)? Thus wouldn't any element of the integers be a nonzero element that we are looking for? Am I on the right track? -Josie
Yea, that's the same example I found. You were on the right track, but to put it more succinctly you can observe that Z is an integral domain, meaning if an element isn't a unity then it is a nonzero element.
--Jniederh 02:41, 11 March 2009 (UTC)
