Let S = 50, 16 and let a binary operation # be defined on

Chapter 8, Problem 21

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Let S = 50, 16 and let a binary operation # be defined on S by # 0 1 0 1 0 1 0 1 Let T = 55, 76, and let a binary operation + be defined on T by + 5 7 5 7 5 7 5 7 Consider 3S, # 4 and [T, +] as mathematical structures. a. If a function f is an isomorphism from 3S, # 4 to [T, +], what two properties must f satisfy? b. Define a function f: S S T and prove that it is an isomorphism from 3S, # 4 to [T, +].

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