Ω-Gorenstein projective, injective and flat modules
X Yang, Z Liu - Algebra Colloquium, 2011 - World Scientific
Ω-Gorenstein Projective, Injective and Flat Modules Page 1 Algebra Colloquium c 2011 AMSS
CAS & SUZHOU UNIV Algebra Colloquium 18 : 2 (2011) 273–288 Ω-Gorenstein Projective …
CAS & SUZHOU UNIV Algebra Colloquium 18 : 2 (2011) 273–288 Ω-Gorenstein Projective …
Gorenstein n-flat modules and their covers
C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …
On relative counterpart of Auslander's conditions
It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
Gorenstein FP-injective and Gorenstein flat modules
L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
k-torsionless modules with finite Gorenstein dimension
Let R be a commutative Noetherian ring. It is shown that the finitely generated R-module M
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …
Gorenstein injective precovers, covers, and envelopes
E Enochs, S Estrada, A Iacob - arXiv preprint arXiv:1301.5694, 2013 - arxiv.org
We give a sufficient condition for the class of Gorenstein injective modules be precovering: if
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …
Gorenstein injective modules over Gorenstein rings
EE Enochs, OMG Jenda - Communications in Algebra, 1998 - Taylor & Francis
R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …
dimension at most n on either side. R module will mean a left R-module and all modules will …
Minimal injective and flat resolutions of modules over Gorenstein rings
JZ Xu - Journal of Algebra, 1995 - Elsevier
Over a commutative Noetherian ring R, the Bass invariants μi (p, M) were defined for any
module M and any prime p∈ Spec R by H. Bass (Math. Z. 82, 1963, 8-28). In the first part of …
module M and any prime p∈ Spec R by H. Bass (Math. Z. 82, 1963, 8-28). In the first part of …
Rings over which all (finitely generated) strongly Gorenstein projective modules are projective
N Mahdou, K Ouarghi - arXiv preprint arXiv:0902.2237, 2009 - arxiv.org
arXiv:0902.2237v3 [math.AC] 10 Mar 2010 Page 1 arXiv:0902.2237v3 [math.AC] 10 Mar 2010
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …
Gorenstein syzygy modules
C Huang, Z Huang - Journal of Algebra, 2010 - Elsevier
For any ring R and any positive integer n, we prove that a left R-module is a Gorenstein n-
syzygy if and only if it is an n-syzygy. Over a left and right Noetherian ring, we introduce the …
syzygy if and only if it is an n-syzygy. Over a left and right Noetherian ring, we introduce the …