z6

Z6 is a designation used in different domains, most notably in mathematics and photography. In mathematics, Z6 denotes the ring of integers modulo 6, written Z/6Z. It consists of six residue classes {0,1,2,3,4,5} with arithmetic performed modulo 6. As a finite commutative ring, Z6 has zero divisors; for example, 2×3 ≡ 0 mod 6. It is not a field because not every nonzero element has a multiplicative inverse. By the Chinese Remainder Theorem, Z/6Z is isomorphic to Z/2Z × Z/3Z, reflecting the factorization 6 = 2×3. The ring is a standard object in elementary number theory and algebra, used to study congruences, modular arithmetic, and ring decompositions.

In photography, the Nikon Z6 is a full-frame mirrorless camera released by Nikon in 2018 as part of the Z-mount system. It features a 24.5-megapixel backside-illuminated sensor, in-body image stabilization, and 4K video recording. It uses Nikon's Z-mount lenses and offers phase-detection autofocus across most of the frame, appealing to both photographers and videographers. The Z6 was followed by the Nikon Z6 II, announced in 2020, which provides improved processing, higher buffer performance, and dual card slots.

The Z6 designation is used in multiple contexts beyond these notable examples, so readers should consider the domain to determine the intended meaning.