On Gorenstein projective, injective and flat dimensions-a functorial description with applications
LW Christensen, A Frankild, H Holm - arXiv preprint math/0403156, 2004 - arxiv.org
Gorenstein homological dimensions are refinements of the classical homological
dimensions, and finiteness singles out modules with amenable properties reflecting those of …
dimensions, and finiteness singles out modules with amenable properties reflecting those of …
[PDF][PDF] Some characterizations of Gorenstein local rings in terms of G-dimension
R Takahashi - Acta Mathematica Hungarica, 2004 - math.nagoya-u.ac.jp
SOME CHARACTERIZATIONS OF GORENSTEIN LOCAL RINGS IN TERMS OF G-DIMENSION
1. Introduction and Preliminary Throughout the present Page 1 SOME CHARACTERIZATIONS …
1. Introduction and Preliminary Throughout the present Page 1 SOME CHARACTERIZATIONS …
Commutative extensions by canonical modules are Gorenstein rings
R Fossum - Proceedings of the American Mathematical Society, 1973 - ams.org
Reiten has demonstrated that the trivial Hochschild extension of a Cohen-Macaulay local
ring by a canonical module is a Gorenstein local ring. Here it is proved that any commutative …
ring by a canonical module is a Gorenstein local ring. Here it is proved that any commutative …
Stability of Gorenstein categories
KA Sather-Wagstaff, T Sharif… - Journal of the London …, 2008 - Wiley Online Library
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a commutative ring R yields exactly the Gorenstein projective modules. Specifically …
over a commutative ring R yields exactly the Gorenstein projective modules. Specifically …
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 …
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
The derived category of a graded Gorenstein ring
J Burke, G Stevenson - Commutative algebra and …, 2013 - books.google.com
We give an exposition and generalization of Orlov's theorem on graded Gorenstein rings.
We show the theorem holds for nonnegatively graded rings that are Gorenstein in an …
We show the theorem holds for nonnegatively graded rings that are Gorenstein in an …
Gorenstein flat covers over GF-closed rings
Y Gang, L Zhongkui - Communications in Algebra, 2012 - Taylor & Francis
Full article: Gorenstein Flat Covers over GF-Closed Rings Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
Projectively coresolved Gorenstein flat and ding projective modules
A Iacob - Communications in Algebra, 2020 - Taylor & Francis
We give necessary and sufficient conditions in order for the class of projectively coresolved
Gorenstein flat modules, PGF (respectively that of projectively coresolved Gorenstein B flat …
Gorenstein flat modules, PGF (respectively that of projectively coresolved Gorenstein B flat …
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 …
Injective modules for group rings and Gorenstein orders
KW Roggenkamp - Journal of Algebra, 1973 - Elsevier
Commutative noetherian Gorenstein rings (ie, rings of finite selfinjective dimension) were
first studied by Bass in 1963 [2]. S is a Gorenstein ring of injective dimension one if and only …
first studied by Bass in 1963 [2]. S is a Gorenstein ring of injective dimension one if and only …