凝聚环的维数fPD

Dimension fPD of Coherent Rings

设R是凝聚环.利用可除模和h-可除模刻画fPD不超过1的凝聚整环,给出一组等价条件,并利用n-FP-内射模,给出R的维数fPD的同调刻画.

Let R be a coherent ring.By using the divisible modules and h-divisible modules,we characterized the coherent domains with fPD at most one,and gave a set of equivalent conditions.Moreover,we gave homological characterization of the dimension fPD of R by using n-FP-injective modules.