Study On The Commutative Conditions Of Ring

Rings are an important algebraic subject. which are the base of Algebraic Geometry and Algebraic Number Theory. Rings are used to some other subjects. With development of science and technology, theory in rings is increasingly accurate and perfect and preliminary results of rings have been applied in practice. Commutativity is one of important properties in rings. We get some new results on commutativity of rings by studying center elements, characteristics. This paper consists of three parts. The main contents in this paper are as follows:1. Firstly, the paper shows the background, significance, the internal and external actuality, and the main results of this paper.2. Secondly, this paper gives some conceptions and conclusions which are relative to this paper and studies some of theories about commutative ring in some detail. It is ready for the following to drawing several conclusions.3. Finally, the paper discusses commutative conditions of rings. which include center element. We get new six conclusions by using properties of center element and characteristics.