G=(Z,+) X ={2,3} Does X generate G??? My answer is no because X will only generate the set 2Z and 3Z but not Z... Is this right if this is wrong please explain why???
Last edited by mr fantastic; October 29th 2010 at 05:50 AM. Reason: Edited title.
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Originally Posted by Dreamer78692 G=(Z,+) X ={2,3} Does X generate G??? My answer is no because X will only generate the set 2Z and 3Z but not Z... Is this right if this is wrong please explain why??? No, that's not right. For example, . What you need to do for this question is to apply the Euclidean algorithm. 2 and 3 are coprime, so...
Last edited by Swlabr; October 29th 2010 at 01:32 AM.
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