[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 …
Gorenstein homological algebra of Artin algebras
XW Chen - arXiv preprint arXiv:1712.04587, 2017 - arxiv.org
Gorenstein homological algebra is a kind of relative homological algebra which has been
developed to a high level since more than four decades. In this report we review the basic …
developed to a high level since more than four decades. In this report we review the basic …
m-periodic Gorenstein objects
We present and study the concept of m-periodic Gorenstein objects relative to a pair (A, B) of
classes of objects in an abelian category, as a generalization of m-strongly Gorenstein …
classes of objects in an abelian category, as a generalization of m-strongly Gorenstein …
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 …
A note on Gorenstein global dimension of pullback rings
D Bennis - International Electronic Journal of Algebra, 2010 - dergipark.org.tr
The study of global dimension of pullback rings has been subject of several interesting
works and has been served to solve many open problems. In this paper, we attempt to …
works and has been served to solve many open problems. In this paper, we attempt to …
On overrings of Gorenstein Dedekind domains
K Hu, F Wang, L Xu, S Zhao - 대한수학회지, 2013 - dbpia.co.kr
In this paper, we mainly discuss Gorenstein Dedekind domains (G-Dedekind domains for
short) and their overrings. Let R be a one-dimensional Noetherian domain with quotient field …
short) and their overrings. Let R be a one-dimensional Noetherian domain with quotient field …
On stability of Gorenstein categories
A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
Strongly -Gorenstein projective, injective and flat modules
N Mahdou, M Tamekkante - Acta Mathematica Universitatis …, 2018 - iam.fmph.uniba.sk
This paper generalize the idea of the authors in [3]. Namely, we define and study a particular
case of modules with Gorenstein projective, injective, and flat dimension less or equal than …
case of modules with Gorenstein projective, injective, and flat dimension less or equal than …
关于GI 平坦模和GF 挠模
王修建, 赵玉娥, 杜先能 - 中国科学技术大学学报, 2014 - just-cn.ustc.edu.cn
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Stability of Gorenstein classes of modules
S Bouchiba - Algebra Colloquium, 2013 - World Scientific
The purpose of this paper is to give, via totally different techniques, an alternate proof to the
main theorem of [18] in the category of modules over an arbitrary ring R. In effect, we prove …
main theorem of [18] in the category of modules over an arbitrary ring R. In effect, we prove …