Question: 1. Let + and . be the usual binary operations of addition and multiplication on the set Z. And let H = (n' In E

1. Let + and . be the usual binary operations of addition and multiplication on the set Z. And let H = (n' In E Z+), determine whether it is closed under a. Addition b. Multiplication 2. Determine in each case, if the given * is (i) commutative, (ii) associative, and if there is (ii)an identity element e. Now, if e exists, determine the (iv) inverse element. a. On Z, a * b = a + ab\f

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