Rings: \(\mathbb{Z}_p\) (with \(p\) a prime number)
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Write Z_p = {[a] : a ∈ Z} with [a] the residue class of a modulo p. Addition and multiplication are defined by [a]+[b]=[a+b] and [a][b]=[ab]. Since ordinary integer addition and multiplication are commutative, these induced operations on residue classes are Show more…
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