[图书][B] Foundations of commutative rings and their modules
F Wang, H Kim - 2016 - Springer
There are different approaches to characterizing the structures of commutative rings: the
category of modules over commutative rings, homology theories, theories of the star …
category of modules over commutative rings, homology theories, theories of the star …
n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …
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 …
[PDF][PDF] Ding projective and Ding injective dimensions
C Huang, T Wu - International Electronic Journal of Algebra, 2015 - dergipark.org.tr
The concepts of Ding projective, injective R-modules were first introduced by Ding and his
partners in [J. Aust. Math. Soc., 86 (2009), 323–338] and [J. Algebra Appl., 7 (4)(2008), 491 …
partners in [J. Aust. Math. Soc., 86 (2009), 323–338] and [J. Algebra Appl., 7 (4)(2008), 491 …
Strongly Gorenstein graded modules
L Mao - Frontiers of Mathematics in China, 2017 - Springer
Strongly Gorenstein graded modules Page 1 Front. Math. China 2017, 12(1): 157–176 DOI
10.1007/s11464-016-0595-y Strongly Gorenstein graded modules Lixin MAO Department of …
10.1007/s11464-016-0595-y Strongly Gorenstein graded modules Lixin MAO Department of …
强拟-Gorenstein 投射模
张文菲 - Pure Mathematics, 2023 - hanspub.org
本文引入了强拟-Gorenstein 投射(内射) 模的概念, 证明了其一些基本性质,
讨论了这两类模的等价刻画. Abstract: In this paper, the concept of strongly quasi-Gorenstein …
讨论了这两类模的等价刻画. Abstract: In this paper, the concept of strongly quasi-Gorenstein …
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 …
called strongly Gorenstein FP-injective modules. Some examples are given to show that …
A note on Gorenstein AC-projective and Gorenstein AC-flat modules
J Wang - Colloquium Mathematicum, 2022 - impan.pl
We establish some relationships between Gorenstein AC-projective modules and
Gorenstein AC-flat modules. As applications, we obtain some new characterizations of …
Gorenstein AC-flat modules. As applications, we obtain some new characterizations of …
Gorenstein FC-projective modules
Y Wang, D Zhou - Journal of Algebra and Its Applications, 2020 - World Scientific
In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …
projective dimensions, and characterize rings over which every module is Gorenstein FC …