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Subject: "Re: Permutation Question"     Previous Topic | Next Topic
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Cathy Brown
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Nov-18-01, 03:15 PM (EST)
 
"Re: Permutation Question"
 
   Can someone please help me with this question? thanks
A binary operation * is defined on Z by m*n = m + n -2
Prove that Z with operation * is a monoid

Re:To prove that Z becomes a monoid you have to establish three things:

The operation * is defined for any two numbers m and n from Z.

The operation * is associative.

The operation * has a unit e such that for any m in Z m*e = e*m = m.

Exactly which if the three do you find difficult to prove?


i know the monoid properties but how do i relate it with m*n = m + n -2???? i really blur about this....


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alexb
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672 posts
Nov-18-01, 03:23 PM (EST)
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1. "RE: Re: Permutation Question"
In response to message #0
 
   OK. A step at a time.

>The operation * is defined for any two numbers m and n from
>Z.

Is this true? Is the operation * defined for all m and n?


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