Strongly Gorenstein flat and Gorenstein FP-injective modules

C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
… results concerning strongly Gorenstein flat dimension in this section have a Gorenstein FP-…
strongly Gorenstein flat dimension and the global Gorenstein FP-injective dimension of rings…

n-Strongly Gorenstein Projective, Injective and Flat Modules

G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
… finite flat dimensionGorenstein 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

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 …

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 …

[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 GorensteinGorenstein 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 flatGorenstein. …

Tilting modules and Gorenstein rings

LA Hügel, D Herbera, J Trlifaj - 2006 - degruyter.com
… -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

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. …

(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

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 ≤ …