Some conditions for the existence of Gorenstein projective covers and preenvelopes
B Yu - Journal of Algebra and Its Applications, 2016 - World Scientific
… Gorenstein projective modules is covering. We also characterize the rings over which the class
of Gorenstein projective modules … every module has a Gorenstein projective preenvelope. …
of Gorenstein projective modules … every module has a Gorenstein projective preenvelope. …
On Gorenstein injective modules
EE Enochs, OMG Jenda - Communications in Algebra, 1993 - Taylor & Francis
… 3 We first note that if Mv is Gorenstein projective, then Hom(E(k), M) = (Mu)* # 0 since MV #
0. … R-module N is Gorenstein projective if and only if N* is Gorenstein projective. Hence Mu is …
0. … R-module N is Gorenstein projective if and only if N* is Gorenstein projective. Hence Mu is …
FPn-Injective, FPn-Flat Covers and Preenvelopes, and Gorenstein AC-Flat Covers
D Bravo, S Estrada, A Iacob - Algebra Colloquium, 2018 - World Scientific
… properties of Gorenstein flat modules extend to the class of Gorenstein AC-flat modules; for
… Gorenstein flat modules) every Gorenstein AC-flat module is a direct summand of a strongly …
… Gorenstein flat modules) every Gorenstein AC-flat module is a direct summand of a strongly …
Stability of Gorenstein classes of modules
S Bouchiba - Algebra Colloquium, 2013 - World Scientific
… ) Gorenstein injective? We settle such a question in the affirmative and the dual result for the
Gorenstein projective modules … As an application, we provide the Gorenstein versions of the …
Gorenstein projective modules … As an application, we provide the Gorenstein versions of the …
Gorenstein homological theory for differential modules
J Wei - Proceedings of the Royal Society of Edinburgh Section …, 2015 - cambridge.org
… module is Gorenstein projective (injective, respectively) if and only if its underlying module is
Gorenstein projective (… We then relate the Ringel–Zhang theorem on differential modules to …
Gorenstein projective (… We then relate the Ringel–Zhang theorem on differential modules to …
Finiteness criteria for Gorenstein flat dimension and stability
I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
… Gorenstein projective. While the relation between Gorenstein projective and Gorenstein flat
modules is not well understood, the class of projectively coresolved Gorenstein flat modules …
modules is not well understood, the class of projectively coresolved Gorenstein flat modules …
On the finiteness of Gorenstein homological dimensions
I Emmanouil - Journal of Algebra, 2012 - Elsevier
… of modules of finite Gorenstein projective, injective and flat … all Gorenstein projective
modules are Gorenstein flat and … of the Gorenstein Tor-functor for modules of finite Gorenstein …
modules are Gorenstein flat and … of the Gorenstein Tor-functor for modules of finite Gorenstein …
Injective envelopes and (Gorenstein) flat covers
EE Enochs, Z Huang - Algebras and representation theory, 2012 - Springer
… envelopes of (Gorenstein) flat modules and (Gorenstein) flat covers of injective modules. We
… the injective envelope of R R is (Gorenstein) flat if and only if the injective envelope of every …
… the injective envelope of R R is (Gorenstein) flat if and only if the injective envelope of every …
Tate homology of modules of finite Gorenstein flat dimension
L Liang - Algebras and Representation Theory, 2013 - Springer
… We notice that every (left or right) R-module over a Gorenstein ring R is of finite
Gorenstein flat dimension by [7, Theorem 12.3.1], and hence admits a Tate flat resolution. …
Gorenstein flat dimension by [7, Theorem 12.3.1], and hence admits a Tate flat resolution. …
[HTML][HTML] Gorenstein conditions over triangular matrix rings
EE Enochs, M Cortés-Izurdiaga, B Torrecillas - Journal of Pure and Applied …, 2014 - Elsevier
… Gorenstein projective modules) … Gorenstein projective modules over a left Gorenstein regular
ring R is a strong Kaplansky class, then so is the class of all Gorenstein projective modules …
ring R is a strong Kaplansky class, then so is the class of all Gorenstein projective modules …