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math.AC2022★ 1 cited
Strongly -flat modules, strongly nonnil-injective modules and their homological dimensions
Xiaolei Zhang, Shiqi Xing, Wei Qi
In this paper, we first introduce and study the notions of strongly -flat modules and strongly nonnil-injective modules. And then, we investigate the homology dimensions of modu…
math.AC2019
Two generalizations of Krull domains
Shiqi Xing, Daniel D. Anderson, Muhammad Zafrullah
In this paper we introduce two new generalizations of Krull domains: -almost independent rings of Krull type (-almost IRKTs) and -almost generalized Krull domains…
math.AC2019
Almost discrete valuation domains
Daniel D. Anderson, Shiqi Xing, Muhammad Zafrullah
Let be an integral domain. Then is an almost valuation (AV-)domain if for there exists a natural number with or $b^{n}\mid…