A note on Gorenstein flat dimension

D Bennis - Algebra Colloquium, 2011 - World Scientific
… majority of results on the Gorenstein flat dimension have been … Gorenstein flat dimension is
a refinement of the classical flat … the Gorenstein projective dimension and the Gorenstein flat

Gorenstein derived functors

H Holm - Proceedings of the American Mathematical Society, 2004 - ams.org
… , GI and GF for the categories of Gorenstein projective, Gorenstein injective and Gorenstein
… a definition of Gorenstein projective, Gorenstein injective and Gorenstein flat modules: …

[PDF][PDF] Gorenstein modules under Frobenius extensions

F Kong, D Wu - Bulletin of the Korean Mathematical Society, 2020 - academia.edu
… study projectively coresolved Gorenstein flat modules under Frobenius … Gorenstein flat
module, or a PGF-module for short if there exists an acyclic complex P of projective left R-modules

On stability of Gorenstein categories

A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
Gorenstein projective modules over a ring R yields exactly the Gorenstein projective modules
Specifically, given an exact sequence of Gorenstein projective left R-modules G = … → G 1 …

V-Gorenstein projective, injective and flat modules

X Yang, Z Liu - The Rocky Mountain Journal of Mathematics, 2012 - JSTOR
… By analogy with the projective, injective and flat modules, we consider some properties
and connections of V-Gorenstein projective, injective and flat modules. … In [15], we …

A characterization of Gorenstein projective modules

J Wang, L Liang - Communications in Algebra, 2016 - Taylor & Francis
projective module is flat, and each module has a projectiveGorenstein projective module
is Gorenstein flat, and we also do not know whether each module has a Gorenstein projective

Stable t-structures and homotopy category of Gorenstein-projective modules

N Gao - Journal of Algebra, 2010 - Elsevier
… complexes of Gorenstein-projective modules with bounded … the homotopy category of
Gorensteinacyclic complexes as a … Gorenstein derived category of a CMfinite Gorenstein artin …

[图书][B] Gorenstein dimensions

LW Christensen - 2000 - books.google.com
… In chapter 4 we introduce the Gorenstein projective dimension — a refine… projective
dimension, also for non-finite modules - and we prove that a module has finite Gorenstein projective

Ω-Gorenstein projective, injective and flat modules

X Yang, Z Liu - Algebra Colloquium, 2011 - World Scientific
… The class G0(R) contains all modules of finite projective dimension and all Gorenstein
projective modules while J0(R) contains all modules of finite injective dimension and all …

Gorenstein projective, injective and flat modules

Z Liu, X Yang - Journal of the Australian Mathematical Society, 2009 - cambridge.org
Gorenstein projective, injective and flat modules and we also discuss connections between
Gorenstein injective and flat modulesGorenstein projective, injective and flat modules under …