The mapping ộ: (z, +)-(zn, +), defined by o(m) = m (mod n), is a homomorphism. the kerncl of this mapping is o 4z mz o nz oz the set of all real matrices of 1 p

The mapping ộ: (Z, +)-(Zn, +), defined by o(m) = m (mod n), is a homomorphism. The kerncl of this mapping is O 4Z mz O nz Oz The set of all real matrices of 1 point order 2 under multiplication O forms a group O does not form a semigroup O does not form a groupoid O forms a monoid