Give a natural example of nonempty sets with a common binary operation * where both X and Y have identity elements, but they are not the same. Umm... I can't really think of anything, every set of integer mod would have 1 as identity...
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Originally Posted by tttcomrader Give a natural example of nonempty sets with a common binary operation * where both X and Y have identity elements, but they are not the same. Umm... I can't really think of anything, every set of integer mod would have 1 as identity... Let under multiplication. Note is the identity element for . Let under multiplication. Note is the identity element for .
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