Author(s): Zhao Yicai
Pages: 99-102
Year: 1993 Issue:  1
Journal: Journal of Mathematical Research and Exposition
Keyword:  半局部环; 同调性质; Neumann正则环; 可逆元; 极小素理想; 交换环; 极大理想; 幂等元; 不可分; 除环;
Abstract: A ring R is called to be weak semilocal if R/J(R) is Von Neumann regular. We give a necessary and sufficient condition for a commutative ring to be weak semilocal. The homological dimension of commutative coherent weak semilocal rings and modules are also discussed.