Gorenstein -Injective Modules and -Noetherian Rings
S Xing, X Luo, K Hu - Algebra Colloquium, 2022 - World Scientific
We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …
On stability of F-Gorenstein flat categories
J Hu, A Xu - Algebra Colloquium, 2016 - World Scientific
To investigate cohomology theories based on flats, Asadollahi and Salarian gave the
definition of F-Gorenstein flat R-modules, and these modules are exactly Gorenstein flat …
definition of F-Gorenstein flat R-modules, and these modules are exactly Gorenstein flat …
All modules have Gorenstein flat precovers
G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
Full article: All Modules Have Gorenstein Flat Precovers 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 …
Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
[PDF][PDF] X-injective and Gorenstein X-injective modules
C Selvaraj, A Umamaheswaran - Far East Journal of Mathematical …, 2014 - researchgate.net
X -INJECTIVE AND GORENSTEIN X -INJECTIVE MODULES Page 1 Far East Journal of
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …
Rings over which the class of Gorenstein flat modules is closed under extensions
D Bennis - Communications in Algebra, 2009 - Taylor & Francis
A ring R is called left “GF-closed”, if the class of all Gorenstein flat left R-modules is closed
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …
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 …
[HTML][HTML] The flat stable module category of a coherent ring
J Gillespie - Journal of Pure and Applied Algebra, 2017 - Elsevier
Let R by a right coherent ring and R-Mod denote the category of left R-modules. We show
that there is an abelian model structure on R-Mod whose cofibrant objects are precisely the …
that there is an abelian model structure on R-Mod whose cofibrant objects are precisely the …
Gorenstein injective modules and Auslander categories
MA Esmkhani, M Tousi - Archiv der Mathematik, 2007 - Springer
In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …
Gorenstein projective and flat complexes over noetherian rings
E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …