Some results on Gorenstein Dedekind domains and their factor rings

K Hu, F Wang - Communications in Algebra, 2013 - Taylor & Francis
A domain is called a Gorenstein Dedekind domain (G-Dedekind for short) if every
submodule of a projective module is G-projective (ie, G-gldim (R)= 1). It is proved in this note …

On overrings of Gorenstein Dedekind domains

K Hu, F Wang, L Xu, S Zhao - Journal of the Korean Mathematical …, 2013 - koreascience.kr
In this paper, we mainly discuss Gorenstein Dedekind do-mains (G-Dedekind domains for
short) and their overrings. Let R be a one-dimensional Noetherian domain with quotient field …

[PDF][PDF] A note on Gorenstein Prüfer domains

K Hu, F Wang, L Xu - Bulletin of the Korean Mathematical Society, 2016 - researchgate.net
In this note, we mainly discuss the Gorenstein Prüfer domains. It is shown that a domain is a
Gorenstein Prüfer domain if and only if every finitely generated ideal is Gorenstein …

Some examples in Gorenstein multiplicative ideal theory

S Xing - Communications in Algebra, 2022 - Taylor & Francis
In this paper, we construct some non-integrally closed domains in Gorenstein multiplicative
ideal theory. For example, we show that there exists a Gorenstein Prüfer domain which is …

A Gorenstein analogue of a result of Bertin

L Qiao, F Wang - Journal of Algebra and Its Applications, 2015 - World Scientific
An integral domain R is called a Gorenstein Prüfer (G-Prüfer) domain if it is coherent and
every submodule of a flat R-module is Gorenstein flat. In this paper, we show that every n-FC …

SG-projective ideals in one dimensional Noetherian domains

K Hu, JW Lim, DC Zhou - Communications in Algebra, 2022 - Taylor & Francis
Full article: SG-projective ideals in one dimensional Noetherian domains Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Access …

On strongly Gorenstein FP-injective modules

Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

A characterization of cofinite complexes over complete Gorenstein domains

K Eto, KI Kawasaki - Journal of Commutative algebra, 2011 - JSTOR
Let 𝑅 be a complete Gorenstein local domain, 𝐽 an ideal of 𝑅 of dimension one, and 𝑁• a
complex of 𝑅-modules bounded below. In this paper, we prove that 𝑁• is a 𝐽-cofinite …

Homological properties of modules over Ding-Chen rings

G Yang - Journal of the Korean Mathematical Society, 2012 - koreascience.kr
Abstract The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent,
and has both left and right self FP-injective dimensions at most n for some non-negative …

Strongly Gorenstein projective, injective and flat modules

X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …