We'd like to use analytics cookies to understand which symbols people look up, so we know what to research next. They are not used for advertising and we set none of them unless you say yes. What we store.
Z over nZ, the integers wrapped round at a fixed size.
Also known as: Integers mod n, Z mod nZ, Residue class ring, Modular ring
Z/nZ is clock arithmetic written as a quotient: the integers with everything divisible by n treated as zero. It is a field exactly when n is prime, which is the single fact that decides whether division works in it.
Denotes the quotient of the integers by the multiples of a given number — modular arithmetic as a ring.
Contexts: Mathematics
Is a field precisely when the modulus is prime; for a composite modulus some non-zero elements have no multiplicative inverse.
Contexts: Mathematics
Is the unambiguous spelling of what Z_n also means, and is preferred where the p-adic integers are also in play.
Contexts: Mathematics
A capital blackboard-bold Z, a forward slash, then a numeral and a second capital Z.