弱半局部环的同调性质

Homological Properties of Weak Semilocal Rings

中文摘要:

      环R称为弱半局部环,如果R/J(R)是Von Neumann正则环.给出了一个交换环是弱半局部环的充分且必要条件;还讨论了交换凝聚弱半局部环及其模的同调维数.

英文摘要:

      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.