摘要
利用环和模范畴的有关理论,研究环的左Excellent扩张与左总体维数,证明了当环S是环R的左Excel-lent扩张时,lgdS=lgdR,并推广了有关的结论.
The theories of rings and module categories are used to study the left Excellent extensions and left global dimensions. The result shows that the left global dimension of S is equal to the left global dimension of R, where S is a left Excellent extension of R.
出处
《湖北民族学院学报(自然科学版)》
CAS
2006年第3期214-215,共2页
Journal of Hubei Minzu University(Natural Science Edition)