… is Gorenstein projective left -module. At the … Gorenstein projective dimensions of left -module
M. Key words: triangular matrix ring;Gorenstein projective module;Gorenstein projective …

… flat. In this paper, we show that a flat module which is not projective is not Gorenstein (L,A)-projective
(see Remark 3.6). That is, the class of all …

… that the global Gorenstein flat dimension and the finitistic Gorenstein flat dimension of A are
no more than that of B. Additionally, the problem of preserving the property of Gorenstein flat …

… The Gorenstein projective dimension of a left R-module M … -modules with each A i Gorenstein
projective}. Dually we have the definitions of Gorenstein injective modules and Gorenstein …

… Based on these definitions, the theory of Gorenstein homological … at Gorenstein projective
and Gorenstein injective modules, respectively, instead of the projective and injective modules …

… As an application we characterize Ding-Chen rings by this new global Gorenstein … global
Gorenstein dimension. We also show the existence of X -Gorenstein projective precovers for a …

… In the following example, we do not know whether or not all Gorenstein projective T-modules
are Gorenstein flat. Thus Theorem 3.1 is not implied by the result of [16, Theorem 15]. …

… upon tensoring with any injective module I. So these are like the usual Gorenstein flat
modules we know from [6], but defined via a complex of projectives, not just a complex of flats. …

… That is, we introduce and investigate modules C such that the theory of GC-flat modules and
… of relative flat modules on which we will construct relative Gorenstein flat modules. Namely, …

… A natural question is whether all (L, A)-Gorenstein projective R-modules are (L, A)-Gorenstein
flat, for now we will prove this for a symmetric duality pair {L, A}. Thus, the inequality Gfd(F,…