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Consider the multiplicative group zs* of non-zero integers modulo 5 and additive group z4. let d: ( z4, +)-(zs*, x) be a map defined as d(m) = 3" o d is not a h
Consider the multiplicative group Zs* of non-zero integers modulo 5 and additive group Z4. Let d: ( Z4, +)-(Zs*, x) be a map defined as d(m) = 3" O d is not a homomorphism co is a homomorphism but not one- O one mapp o is a homomorphism but not onto O map is a homomorphism and bijective O map
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Srinath
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Option D. They both have four elements, so we can check for bijection. The range of this function is equal to the codomain. So, it is onto. And, clearly it is one-one, because kernel consists, only 0 from Z4. But before all these, try proving whether it is an homomorphism or not.
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Kiran goswami
option d
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Deepak singh 1![best-answer]()
see attached proof , option d is correct if any doubt then ask