The role of w-tilting modules in relative Gorenstein (co) homology
… We investigate Gorenstein flat modules relative to a not necessarily semidualizing module
C and we find conditions for the class of G C -projective modules to be special precovering, …
C and we find conditions for the class of G C -projective modules to be special precovering, …
Relative Gorenstein flat modules and Foxby classes and their model structures
… second purpose of this paper is to continue the study initiated in [5, 7, 8, 9] of relative Gorenstein
… , Wakamatsu tilting and w-tilting modules (see [8, Proposition 4.3] and [9, Example 2.2]). …
… , Wakamatsu tilting and w-tilting modules (see [8, Proposition 4.3] and [9, Example 2.2]). …
Relative Gorenstein dimensions over triangular matrix rings
… Such rings play an important role in the representation theory of algebras. … relative Gorenstein
homological notions (w-tilting, relative Gorenstein projective modules, relative Gorenstein …
homological notions (w-tilting, relative Gorenstein projective modules, relative Gorenstein …
A UNIFIED APPROACH TO VARIOUS GORENSTEIN MODULES
R Zhao, Y Li - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
… Let 𝒱 , 𝒲 , 𝒴 , 𝒳 be four classes of modules. We introduce a notion of ( 𝒱 , 𝒲 , 𝒴 , 𝒳 ) -Gorenstein
modules which unifies a number of well-known Gorenstein modules. Under certain mild …
modules which unifies a number of well-known Gorenstein modules. Under certain mild …
(X, Y)-Gorenstein Categories, Associated (Global) Homological Dimensions and Applications to Relative Foxby Classes
E Duarte, JR García Rozas, H Ouberka, L Oyonarte - Mathematics, 2024 - mdpi.com
… , the significance of Gorenstein projective modules and … a satisfactory relative (co)homology
theory. These newly studied … upon the properties of a w-tilting module) within an abelian …
theory. These newly studied … upon the properties of a w-tilting module) within an abelian …
Relative Gorenstein flat modules and dimension
… Now, when studying relative Gorenstein homology, there is a … an important role in the
description of Gorenstein modules, as … modules, which we will call w + -tilting modules. We will see …
description of Gorenstein modules, as … modules, which we will call w + -tilting modules. We will see …
[PDF][PDF] Relative Finitistic Projective and Injective Dimensions
Y Wei, X Tang - International Journal of Algebra, 2023 - m-hikari.com
… modules over arbitrary associative rings. Semidualizing modules have been a cornerstone
of relative … dimension is equal to the related finitistic Gorenstein projective dimension. Over a …
of relative … dimension is equal to the related finitistic Gorenstein projective dimension. Over a …
Infinitesimals via Cauchy sequences: Refining the classical equivalence
E Bottazzi, MG Katz - Open Mathematics, 2021 - degruyter.com
… Instead, we define an equivalence relation ∼ on C by setting u ∼ v if and only if they
actually … The notion of dominance is relative to a nonprincipal ultrafilter U on the set of natural …
actually … The notion of dominance is relative to a nonprincipal ultrafilter U on the set of natural …
On stochastic inverse problem of construction of stable program motion
MI Tleubergenov, GK Vassilina - Open Mathematics, 2021 - degruyter.com
… vector functions in some ε -neighborhood Λ ε = { ∥ y − φ ( t ) ∥ < ε } of the integral manifold
Λ ( t ) (1.2) for all t ≥ t 0 such that Λ ( t ) is stable by Lyapunov in relation to their components. …
Λ ( t ) (1.2) for all t ≥ t 0 such that Λ ( t ) is stable by Lyapunov in relation to their components. …
Functional equations related to higher derivations in semiprime rings
OH Ezzat - Open Mathematics, 2021 - degruyter.com
… The purpose of the current article is to extend some results of Bell and Daif [1]. They defined
the notion of centrally extended derivation on a ring R with center Z to be a map d : R → R …
the notion of centrally extended derivation on a ring R with center Z to be a map d : R → R …