(6) Prove that if H is a subgroup of Z, then there is a unique nonnegative...

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(6) Prove that if H is a subgroup of Z, then there is a unique nonnegative integer m such that H = mZ. (7) Prove that every s

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:) 6.) suppose that His a subgroup of Z. If His trivial żie. H={0} then take m=0 Hence H= mz. If His a non-prèvial subgroup o Semence (7) fet H, CH₂ CH₃ C. be the given increasing of subgroups of Z. fet H= CH j=1 Then His a subgroup of Z so there exis

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