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Let Z[] be the following set of rational numbers { a Z, k N} (and recall that N = {0, 1, 2,...} in this

Let Z[] be the following set of rational numbers { a Z, k N} (and recall that N = {0, 1, 2,...} in this class). Let the addition and multiplication for Z[] be the usual addition and multiplication we use for rational numbers. (a) Does Z[1/2] contain 35/10? (b) Show that Z[] is a commutative ring. (c) intersection of sets A and B.) Show that Z(2) Z[] = Z. (Here An B means the n

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