n-Strongly Gorenstein Projective, Injective and Flat Modules
G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
… finite flat dimension… Gorenstein flat if and only if so is M ⊕ H for any flat module H. We also
investigate the relation between n-strongly Gorenstein flat modules and n-strongly Gorenstein …
investigate the relation between n-strongly Gorenstein flat modules and n-strongly Gorenstein …
Global Gorenstein dimensions
D Bennis, N Mahdou - Proceedings of the American Mathematical Society, 2010 - ams.org
… prove that the global Gorenstein projective dimension of a ring R is equal to the global
Gorenstein injective dimension of R and that the global Gorenstein flat dimension of R is smaller …
Gorenstein injective dimension of R and that the global Gorenstein flat dimension of R is smaller …
Stability of strongly Gorenstein flat modules
Z Wang, Z Liu - Vietnam Journal of Mathematics, 2014 - Springer
… and studied in [10] Gorenstein FP-injective modules, and … between Gorenstein FP-injective
modules and Gorenstein flat … -injective dimension) the strongly Gorenstein flat modules and …
modules and Gorenstein flat … -injective dimension) the strongly Gorenstein flat modules and …
[HTML][HTML] Gorenstein conditions over triangular matrix rings
EE Enochs, M Cortés-Izurdiaga, B Torrecillas - Journal of Pure and Applied …, 2014 - Elsevier
… dimension and U A has finite flat dimension, the ring T is left Gorenstein regular if and only
if A and B are left Gorenstein … Gorenstein projective left modules over left Gorenstein regular …
if A and B are left Gorenstein … Gorenstein projective left modules over left Gorenstein regular …
Foxby duality and Gorenstein injective and projective modules
E Enochs, O Jenda, J Xu - Transactions of the American Mathematical …, 1996 - ams.org
… Gorenstein projective modules (ie modules of G-dimension 0) whether the modules are finitely
generated or not. The investigation of these modules and also Gorenstein flat … Gorenstein. …
generated or not. The investigation of these modules and also Gorenstein flat … Gorenstein. …
Tilting modules and Gorenstein rings
… -Gorenstein rings. Using tilting theory, we prove the first finitistic dimension conjecture for …
We show that the first finitistic dimension conjecture holds true for any Iwanaga-Gorenstein …
We show that the first finitistic dimension conjecture holds true for any Iwanaga-Gorenstein …
Ring homomorphisms and finite Gorenstein dimension
LL Avramov, HB Foxby - Proceedings of the London Mathematical …, 1997 - cambridge.org
… Even in the classical framework of flat homomorphisms, our approach has … the flat
dimension of the R-modules S by one on the finiteness of their Gorenstein dimension , or G-dimension. …
dimension of the R-modules S by one on the finiteness of their Gorenstein dimension , or G-dimension. …
(n, m)-Strongly Gorenstein Projective Modules
D Bennis - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
… that a module M has Gorenstein projective dimension at most m if … Gorenstein projective
module G. And, over rings of finite left finitistic flat dimension, that a module of finite Gorenstein …
module G. And, over rings of finite left finitistic flat dimension, that a module of finite Gorenstein …
Model structures and relative Gorenstein flat modules and chain complexes
S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… of Gorenstein flat (resp., flat) and cotorsion (resp., Gorenstein … of Gorenstein flat modules,
which we call Gorenstein B -flat … , that is, Lm is a Gorenstein flat module with flat dimension ≤ …
which we call Gorenstein B -flat … , that is, Lm is a Gorenstein flat module with flat dimension ≤ …
[PDF][PDF] Finiteness aspects of Gorenstein homological dimensions
S Bouchiba - Colloq. Math, 2013 - academia.edu
… Gorenstein homological dimensions. Specifically, we present an alternative way of measuring
the Gorenstein projective (resp., injective) dimension … Gorenstein projective dimension and …
the Gorenstein projective (resp., injective) dimension … Gorenstein projective dimension and …