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 …
Homological aspects of semidualizing modules
R Takahashi, D White - Mathematica Scandinavica, 2010 - JSTOR
We investigate the notion of the C-projective dimension of a module, where C is a
semidualizing module. When C= R, this recovers the standard projective dimension. We …
semidualizing module. When C= R, this recovers the standard projective dimension. We …
[HTML][HTML] Proper resolutions and Gorenstein categories
Z Huang - Journal of Algebra, 2013 - Elsevier
Let A be an abelian category and C an additive full subcategory of A. We provide a method
to construct a proper C-resolution (resp. coproper C-coresolution) of one term in a short …
to construct a proper C-resolution (resp. coproper C-coresolution) of one term in a short …
W-Gorenstein modules
Y Geng, N Ding - Journal of Algebra, 2011 - Elsevier
Let W be a self-orthogonal class of left R-modules. We introduce and study W-Gorenstein
modules as a common generalization of some known modules such as Gorenstein …
modules as a common generalization of some known modules such as Gorenstein …
Gorenstein projective dimension relative to a semidualizing bimodule
Z Liu, Z Huang, A Xu - Communications in Algebra, 2013 - Taylor & Francis
Let S and R be rings and SCR a semidualizing bimodule. We investigate the relation
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …
AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Algebras and Representation …, 2011 - Springer
We investigate the properties of categories of GC-flat R-modules where C is a semidualizing
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …
Comparison of relative cohomology theories with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Mathematische Zeitschrift, 2010 - Springer
We compare and contrast various relative cohomology theories that arise from resolutions
involving semidualizing modules. We prove a general balance result for relative …
involving semidualizing modules. We prove a general balance result for relative …
Tate cohomology with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Journal of Algebra, 2010 - Elsevier
We investigate Tate cohomology of modules over a commutative noetherian ring with
respect to semidualizing modules. We identify classes of modules admitting Tate resolutions …
respect to semidualizing modules. We identify classes of modules admitting Tate resolutions …
Relative Gorenstein flat modules and dimension
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …
survey of their behavior in terms of both structural and dimension properties. We relate the …
Relative Gorenstein dimensions
D Bennis, JR García Rozas, L Oyonarte - Mediterranean Journal of …, 2016 - Springer
In the last years (Gorenstein) homological dimensions relative to a semidualizing module C
have been subject of several works as interesting extensions of (Gorenstein) homological …
have been subject of several works as interesting extensions of (Gorenstein) homological …