环的n-表现维数（英文）

THE n-PRESENTED DIMENSION OF RINGS

设n是非负整数.本文定义了环R的n-表现维数FP_nD(R).在n-凝聚环下,给出了环R的右整体维数rD(R)、弱整体维数wD(R)、n-表现维数FP_nD(R)之间的关系.并证明了在几乎优越扩张下两个环的n-表现维数是相等的.

Let n be a nonnegative integer. In this paper, we define the n-presented dimension FPnD（R） of a ring R and investigate relations among the right global dimen- sion rD（R）, the weak global dimension wD （R） and the n-presented dimension FPnD（R） of rings for right n-coherent rings. We also obtain that n-presented dimensions of two rings are equal under an almost excellent extension.