2024/11/21 by Zhang, Xiaolei
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2411.14142
Let R be a commutative ring with identity and S a multiplicative subset of R. In this paper, we first introduce and study the notions of s-pure exact sequences and s-absolutely pure modules which extend the classical notions of pure exact sequences and absolutely pure modules. And then, we give some new characterizations of S-coherent rings in terms of s-absolutely pure modules.