Proof that If m Z has a prime decomposition m p 1 k1 p t kt (k i 0 p i distinct primes), then there is an isomorphism of rings Z m Z p1 k1 X X Z pt kt ...

We will construct an isomorphism between Zm and Zp1k1 Zptkt First note that since pi and pj are dist ...

Proof that If m Z has a prime decomposition m = p 1 k1 .

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Proof that If m ϵ Z has a prime decomposition m = p₁^k1. · ·p_t^kt (k_i > 0; p_i distinct primes), then there is an isomorphism of rings Z_m ≅ Z_p1^k1 X · · · X Z_pt^kt.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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Proof that If m Z has a prime decomposition m = p 1 k1 .

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We will construct an isomorphism between Zm and Zp1k1 Zptkt First note that since pi and pj are dist...View the full answer

Algebra Graduate Texts In Mathematics 73

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