(n, m)-Strongly Gorenstein Projective Modules

D Bennis - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
… of these modules. As consequences, we show that a module M has Gorenstein projective
dimension … And, over rings of finite left finitistic flat dimension, that a module of finite Gorenstein

Finiteness criteria for Gorenstein flat dimension and stability

I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
… projective module by Enochs and Jenda [Citation9, Citation10], who … of Gorenstein injective
and Gorenstein flat modules. The relative homological dimensions based on these modules

[HTML][HTML] Gorenstein homological dimensions

H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… 2.20 above (as we will need it in Section 3, when we deal with Gorenstein flat modules). …
case, when we use as input the strong results about Gorenstein flat modules from this section. …

[PDF][PDF] When the flat and Gorenstein flat dimensions coincide?

S Bouchiba - Colloq. Math, 2017 - researchgate.net
… n (I,M) = 0 for some injective right module I} = ∞ implies GfdR(M) = fdR(M) = ∞. Therefore …
next is on modules of finite Gorenstein flat dimension, precisely on modules possessing a flat

[HTML][HTML] Duality pairs and stable module categories

J Gillespie - Journal of Pure and Applied Algebra, 2019 - Elsevier
relative homological algebra, analogous to Gorenstein homological algebra. Indeed …
Gorenstein ( L , A ) -flat modules and the trivially cofibrant objects are the categorically flat modules. …

Duality pairs, generalized Gorenstein modules, and Ding injective envelopes

J Gillespie, A Iacob - Comptes …, 2022 - comptes-rendus.academie-sciences …
… We attach a relative theory of Gorenstein homological algebra to any given semi-complete
duality … So these are like the usual Gorenstein flat modules we know from [6], but defined via a …

[PDF][PDF] A variant theory for the Gorenstein flat dimension

S Bouchiba - Colloq. Math, 2015 - researchgate.net
… of any G-Gorenstein flat module is Gorenstein injective. This means … “M+ is Gorenstein
injective ⇒ M is Gorenstein flat” is true, … relative to the behavior of the generalized Gorenstein flat

Strongly Gorenstein flat dimensions of complexes

Z Wang, Z Liu - Communications in Algebra, 2016 - Taylor & Francis
Gorenstein flat modules which is not projective (flat), and Gorenstein flat module which is not
strongly Gorenstein flat… ring R strongly Gorenstein flat modules lie strictly between projective …

-Strongly Gorenstein Projective, Injective and Flat modules

G Zhao, Z Huang - arXiv preprint arXiv:0904.3045, 2009 - arxiv.org
module of an n-strongly Gorenstein flat module is n-strongly Gorenstein injective; and that
the character module of an n-strongly Gorenstein injective module is n-strongly Gorenstein flat

Relative Gorenstein dimensions over triangular matrix rings

D Bennis, R El Maaouy, JR García Rozas, L Oyonarte - Mathematics, 2021 - mdpi.com
… In this paper, several notions in relative GorensteinGorenstein flat modules over T (without
the “Gorenstein regular” condition) and gave an estimate of the weak global Gorenstein