Relative Gorenstein objects in abelian categories
Let A be an abelian category. For a pair (X, Y) of classes of objects in A, we define the weak
and the (X, Y)-Gorenstein relative projective objects in A. We point out that such objects …
and the (X, Y)-Gorenstein relative projective objects in A. We point out that such objects …
Relative weak global Gorenstein dimension, AB-contexts and model structures
In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
New model structures and projective (injective) cotorsion pairs
A Xu - Journal of Algebra and Its Applications, 2023 - World Scientific
Let 𝒟 be either the category of R-modules or the category of chain complexes of R-modules
and ℳ a cofibrantly generated hereditary abelian model structure on 𝒟. First, we get a new …
and ℳ a cofibrantly generated hereditary abelian model structure on 𝒟. First, we get a new …
Notes on resolving resolution dimensions
A Xu - Journal of Algebra and Its Applications, 2022 - World Scientific
Notes on resolving resolution dimensions Page 1 Journal of Algebra and Its Applications Vol.
21, No. 10 (2022) 2250194 (9 pages) c World Scientific Publishing Company DOI: 10.1142/S0219498822501948 …
21, No. 10 (2022) 2250194 (9 pages) c World Scientific Publishing Company DOI: 10.1142/S0219498822501948 …
Resolutions and Stability of Gorenstein Classes of Modules
Z Wang - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
Abstract Let XX, UU and ZZ be classes of left R-modules, WW be a class of right R-modules
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …