[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 …
Global Gorenstein dimensions
D Bennis, N Mahdou - Proceedings of the American Mathematical Society, 2010 - ams.org
In this paper, we prove that the global Gorenstein projective dimension of a ring $ R $ is
equal to the global Gorenstein injective dimension of $ R $ and that the global Gorenstein …
equal to the global Gorenstein injective dimension of $ R $ and that the global Gorenstein …
Beyond totally reflexive modules and back: a survey on Gorenstein dimensions
LW Christensen, HB Foxby, H Holm - Commutative Algebra: Noetherian …, 2011 - Springer
Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein
homological dimensions for modules over commutative rings. The account includes the …
homological dimensions for modules over commutative rings. The account includes the …
On (strongly) Gorenstein (semi) hereditary rings
N Mahdou, M Tamekkante - Arabian Journal for Science and Engineering, 2011 - Springer
On (Strongly) Gorenstein (Semi)Hereditary Rings Page 1 Arab J Sci Eng (2011) 36:431–440
DOI 10.1007/s13369-011-0047-7 RESEARCH ARTICLE - MATHEMATICS Najib Mahdou …
DOI 10.1007/s13369-011-0047-7 RESEARCH ARTICLE - MATHEMATICS Najib Mahdou …
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 …
submodule of a projective module is G-projective (ie, G-gldim (R)= 1). It is proved in this note …
Subprojectivity in abelian categories
In the last few years, López-Permouth and several collaborators have introduced a new
approach in the study of the classical projectivity, injectivity and flatness of modules. This …
approach in the study of the classical projectivity, injectivity and flatness of modules. This …
On (strongly) Gorenstein von Neumann regular rings
N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …
[PDF][PDF] A brief introduction to Gorenstein projective modules
P Zhang - Notes https://www. math. uni-bielefeld. de/~ sek/sem …, 2008 - Citeseer
Since Eilenberg and Moore [EM], the relative homological algebra, especially the
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …
The Weak (Gorenstein) Global Dimension of Coherent Rings with Finite Small Finitistic Projective Dimension
K Alhazmy, FA Ahmed Almahdi… - Journal of …, 2024 - Wiley Online Library
The small finitistic dimension of a ring is determined as the supremum projective dimensions
among modules with finite projective resolutions. This paper seeks to establish that, for a …
among modules with finite projective resolutions. This paper seeks to establish that, for a …
On 2-SG-semisimple rings
D Bennis, K Hu, F Wang - 2015 - projecteuclid.org
In this paper, we investigate 2-SG-semisimple rings which are a particular kind of quasi-
Frobenius rings over which all modules are periodic of period~ 2. Namely, we show that …
Frobenius rings over which all modules are periodic of period~ 2. Namely, we show that …