MATH 4200 Midterm: MATH 4200 LSU Fall 16 Exam fa
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Answer each of the questions on your own paper. True-false answers can be circled on this page. Be sure to show your work so that partial credit can be adequately assessed. Put your name on each page of your paper: [12 points] (a) assume that is a set that is closed under a binary operation . Associativity ( ) = ( ) for all , , . Identity there is an element 1 with 1 = 1 = for all . Prove that the set with the binary operation is an abelian group. 3 = the operation on is commutatative. Thus, ( ) = ( ) for all , , and associativity holds. Since = check the identity and inverse properties, it is only necessary to check one side. Also, given , 9.
