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Abstract Algebra Answers

1. First problem here...

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2.

  1. The set must have Closure to the operation (performing the operation on any two elements of the set must result in an answer that is also an element of the set)

  2. The set must be Associative--for any three elements of the set, a,b,c the following is true: (a*b)*c = a*(b*c)

  3. There must be an Identity Element in the set

  4. For every element in the set, its Inverse is also an element of the set)

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