The finitely presented torsion-free SG-projective modules are not necessarily projective
S Xing - Journal of Pure and Applied Algebra, 2024 - Elsevier
It is proved in [Strongly Gorenstein projective, injective and flat modules, J. Algebra 320
(2008) 2659–2674, Theorem 2.8] that a finitely presented torsion-free module is SG …
(2008) 2659–2674, Theorem 2.8] that a finitely presented torsion-free module is SG …
Gorenstein Krull domains and their factor rings
S Xing - Communications in Algebra, 2024 - Taylor & Francis
Abstract The concept of Gorenstein Krull domains can be viewed as a Gorenstein analogue
of Krull domains, which are not necessarily integrally closed. This allows us to study those …
of Krull domains, which are not necessarily integrally closed. This allows us to study those …
Almost Gorenstein Dedekind domains
S Xing, L Qiao, H Kim, K Hu - Journal of Algebra and Its Applications, 2024 - World Scientific
An integral domain R is said to be locally G-Dedekind if the Gorenstein global dimension of
R 𝔪 is at most one for each maximal ideal 𝔪. In this paper, we show that an integral domain …
R 𝔪 is at most one for each maximal ideal 𝔪. In this paper, we show that an integral domain …
[PDF][PDF] Copure projective modules over FGV-domains and Gorenstein Pr\\\{u} fer domains
S Xing - 대한수학회보, 2023 - researchgate.net
In this paper, we prove that a domain R is an FGV-domain if every finitely generated torsion-
free R-module is strongly copure projective, and a coherent domain is an FGV-domain if and …
free R-module is strongly copure projective, and a coherent domain is an FGV-domain if and …