Integers are numbers like -3, -2,-1, 0, 1, 2,3, 10. A set of all integers is called an integer set. It includes all positive integers, all negative integers and zeros. In mathematics, integer sets are usually represented by z.

Integers are divided into negative integers (-1, -2, -3 ...), 0 and positive integers (1, 2, 3 ...), among which non-negative integers are also called natural numbers. Therefore, negative integers, zero and positive integers constitute an integer system (also called integer set).

Generally speaking, there are non-negative integers (0, 1, 2, 3 ...) and non-positive integers (0,-1, -2, -3 ...). Non-negative integers are numbers representing the number of objects, with 0 representing 0 objects and 1 representing/kloc-0.

More special is 0. 0 is an integer between-1 and 1. Is the smallest natural number and also a rational number. 0 is neither positive nor negative, but the dividing point between positive and negative numbers.

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The reason why the integer set is represented by Z: In 1920, she has introduced the concepts of "left module" and "right module". The ideal theory of the whole ring written in 192 1 is a milestone in the development of commutative algebra. Among them, Nott was German when she introduced the concept of integer ring, and the integer in German was called Zahlen, so she recorded the integer ring as Z at that time, and the integer set was represented by Z from then on.

Other representations of number sets related to integers;

1. The set of all positive integers is called positive integer set, and it is recorded as N*, Z+ or N+.

2. A set composed of all nonnegative integers is called a nonnegative integer set (or natural number set), and is denoted as n. ..

References:

Baidu Encyclopedia-Integer Set