Classifier Instance:

Anchor text: Division
Target Entity: Division_\u0028mathematics\u0029
Preceding Context: Similarly, 6 + 1 ≡ 0 (mod 7), 2 − 5 ≡ 4 (mod 7), since −3 + 7 = 4, and 3 · 4 ≡ 5 (mod 7) as 12 has remainder 5. Standard properties of addition and multiplication familiar from the integers remain valid in modular arithmetic. In the parlance of abstract algebra, the above set of integers, which is also denoted Z/nZ, is therefore a commutative ring for any n.
Succeeding Context: , however, is not in general possible in this setting. For example, for n = 6, the equation
Paragraph Title: Arithmetic modulo a prime and finite fields
Source Page: Prime number

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