摘要
It is well known that the connected ring is one of the most useful rings. For example, in-tegral domain, local ring, PF ring and ring with torsion K<sub>0</sub> group are all connected. LetX be a topological space. Then X is connected if and only if C（X） is a connected ring. Our main goal is to investigate the properties of connected rings by virtue of matrixtheories. Throughout this note, all rings are commutative with identity elements.
