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Mathematics 13 Online
OpenStudy (empty):

Quick question, what does this mean

OpenStudy (empty):

\[ \mathbb{Z} /n \mathbb{Z} \]

OpenStudy (anonymous):

Maybe this will help idk lol https://answers.yahoo.com/question/index?qid=20101008044808AAIoNtG

OpenStudy (anonymous):

WAIT This will help http://www3.nd.edu/~sevens/znzstar.pdf

OpenStudy (empty):

Cool that was it thanks.

OpenStudy (anonymous):

Yw

OpenStudy (anonymous):

(Z/nZ)* is a multiplicative group and is only part of the picture of Z/nZ which typically represents a *ring* Z/nZ (and for prime n you get finite fields since you no longer have to worry about zero-divisors)

OpenStudy (anonymous):

it's basically the ring of integers modulo \(n\) with usual addition, multiplication

OpenStudy (anonymous):

the notation is suggestive of the fact that \(n\mathbb{Z}\) is an ideal of \(\mathbb{Z}\) and the ring \(\mathbb{Z}/n\mathbb{Z}\) is a quotient (namely of \(\mathbb{Z}\) mod \(n\mathbb{Z}\))

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