2021/05/30 by Zhang, Xiaolei
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2106.00535
In this paper, we introduce and study the S-weak global dimension S-w.gl.dim(R) of a commutative ring R for some multiplicative subset S of R. Moreover, commutative rings with S-weak global dimension at most 1 are studied. Finally, we investigated the S-weak global dimension of factor rings and polynomial rings.