Z-star is an independent mathematical field and a set of integers in complex number field. Because complex numbers have real and imaginary parts, the numbers in Z-star can also be regarded as extensions of real numbers. At the same time, Z star is also an extension of integer ring, which includes the sum of all real numbers and imaginary numbers, and their addition, subtraction and multiplication operations.

Z-star is widely used in mathematics, especially in algebra, number theory, geometry, numerical calculation and physics. In algebra, Z star is used to solve linear equations, find the roots of polynomials and construct finite fields. In number theory, Z-star is used to study divisibility, congruence and prime factorization of numbers. In addition, in geometry, Z star can provide more accurate description and calculation.

The concept of Z star was put forward and studied by mathematician hassell Dixon in the early 20th century. After that, because of its wide application and importance, Z star gradually became one of the indispensable concepts in mathematics. In the subsequent development, Z-Star has been deeply understood and applied, and more and more related mathematical tools and methods have been used. At present, Z-Star can be easily calculated and studied with the help of computers and software, which provides effective solutions to mathematical and practical problems in various fields.