Modern algebra z 12 represents the residue class ring of integer set module 12. Modern algebra is an important branch of mathematics, which studies the properties and relationships of abstract algebraic structures. In modern algebra, people have explored various algebraic structures, such as groups, rings and fields. And their properties, operation rules, and the mapping and relationship between them are studied. And z 12 is a specific mathematical structure, which can be regarded as 0, 1, 2, ..., 1 1, in which the operations are defined as modulo 12 addition and modulo 12 multiplication. Therefore, the modern algebra z 12 represents the residual class ring of integer set module 12.