[PDF][PDF] MULTIPLICITIES AND ENUMERATION OF SEMIDUALIZING MODULES
SM COOPER, S SATHER-WAGSTAFF - arXiv preprint arXiv:1001.2632, 2010 - Citeseer
… A finitely generated module C over a commutative noetherian ring R is semidualizing if
HomR(C, C) ∼= R … We begin with a general result for modules of infinite projective dimension. …
HomR(C, C) ∼= R … We begin with a general result for modules of infinite projective dimension. …
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
… projective modules and the Gorenstein flat modules; these are analogues of modules of G-dimension
0 for the non-finitely … finitely generated modules, but consider duality with respect to …
0 for the non-finitely … finitely generated modules, but consider duality with respect to …
On relative counterpart of Auslander's conditions
… Namely, for a semidualizing module C, we introduce weakly C-… GC-projective modules and
G-projective modules are related … that finitely generated projective modules and modules in …
G-projective modules are related … that finitely generated projective modules and modules in …
Relative Gorenstein dimensions
D Bennis, JR García Rozas, L Oyonarte - Mediterranean Journal of …, 2016 - Springer
… finitely generated modules to the case of arbitrary modules over commutative noetherian rings,
C being a semidualizing … paper about the GC-projective modules and dimension have its …
C being a semidualizing … paper about the GC-projective modules and dimension have its …
Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
… When X is the class of projective R-module we write pd … A finitely generated R-module C
is called semidualizing if the natural homothety morphism R → HomR(C, C) is an isomorphism …
is called semidualizing if the natural homothety morphism R → HomR(C, C) is an isomorphism …
Auslander Class, G C , and C–projective Modules Modulo Exact Zero-divisors
E Amanzadeh, MT Dibaei - Communications in Algebra, 2015 - Taylor & Francis
… and the Bass class with respect to a semidualizing R–module modulo exact zero–divisors. …
of semidualizing modules. A finite (ie, finitely generated) R–module C is called semidualizing …
of semidualizing modules. A finite (ie, finitely generated) R–module C is called semidualizing …
Stability of Gorenstein categories
S Sather-Wagstaff, T Sharif… - Journal of the London …, 2008 - Wiley Online Library
… to define the Gorenstein projective modules over a commutative … that R is noetherian and C
is a semidualizing R-module. A … Each finitely generated R-module that is either projective or C…
is a semidualizing R-module. A … Each finitely generated R-module that is either projective or C…
[PDF][PDF] GORENSTEIN FI-FLAT DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE.
… -projective, GC-injective and GC-FI-flat module respectively. White introduced in [23] the
GC-projective modules … of M such that each Pi is a finitely generated projective (resp., free). Note …
GC-projective modules … of M such that each Pi is a finitely generated projective (resp., free). Note …
[PDF][PDF] Auslander class, GC-projective and C-projective modules modulo exact zero-divisors
E Amanzadeh, MT Dibaei - arXiv preprint arXiv:1301.4078, 2013 - Citeseer
… and the Bass class with respect to a semidualizing R–module modulo exact zero–divisors. …
semidualizing modules. A finite (ie finitely generated) R–module C is called semidualizing if …
semidualizing modules. A finite (ie finitely generated) R–module C is called semidualizing if …
Gorenstein weak injective modules with respect to a semidualizing bimodule
Z Gao, X Ma, T Zhao - Journal of the Korean Mathematical Society, 2018 - koreascience.kr
… G-dimension for finitely generated modules over Noetherian rings. … projective modules for
arbitrary modules over a general ring, which is a generalization of finitely generated modules …
arbitrary modules over a general ring, which is a generalization of finitely generated modules …