Weak AB-context for FP-injective modules with respect to semidualizing modules
J Hu, D Zhang - Journal of Algebra and Its Applications, 2013 - World Scientific
Let S and R be rings and SCR a semidualizing bimodule. We define and study GC-FP-
injective R-modules, and these modules are exactly C-Gorenstein injective R-modules …
injective R-modules, and these modules are exactly C-Gorenstein injective R-modules …
Gorenstein weak injective modules with respect to a semidualizing bimodule
Z Gao, X Ma, T Zhao - Journal of the Korean Mathematical Society, 2018 - koreascience.kr
In this paper, we introduce the notion of C-Gorenstein weak injective modules with respect to
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …
AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Algebras and Representation …, 2011 - Springer
We investigate the properties of categories of GC-flat R-modules where C is a semidualizing
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …
[PDF][PDF] FP-injectivity relative to a semidualizing bimodule
X Tang - Publ. Math. Debrecen, 2012 - publi.math.unideb.hu
In this paper, we extend the notion of C-injective module to that of C-FP-injective module,
where S CR is a semidualizing bimodule over associative rings. We first obtain a result on …
where S CR is a semidualizing bimodule over associative rings. We first obtain a result on …
Buchweitz's equivalences for Gorenstein flat modules with respect to semidualizing modules
J Hu, Y Geng, J Wu, H Li - Journal of Algebra and Its Applications, 2021 - World Scientific
Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …
Gorenstein projective dimension with respect to a semidualizing module
D White - Journal of Commutative Algebra, 2010 - JSTOR
We introduce and investigate the notion of 𝐺𝐶-projective modules over (possibly non-
Noetherian) commutative rings, where 𝐶 is a semidualizing module. This extends Holm and …
Noetherian) commutative rings, where 𝐶 is a semidualizing module. This extends Holm and …
Copure injective resolutions, flat resolvents and dimensions
EE Enochs, JMG Overtoun - Commentationes Mathematicae Universitatis …, 1993 - dml.cz
In this paper, we show the existence of copure injective preenvelopes over noetherian rings
and copure flat preenvelopes over commutative artinian rings. We use this to characterize …
and copure flat preenvelopes over commutative artinian rings. We use this to characterize …
FPn-injective and FPn-flat modules with respect to a semidualizing bimodule
W Wu, Z Gao - Communications in Algebra, 2022 - Taylor & Francis
Let S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …
FP-selfinjective dimension over non-commutative coherent rings
ZY Huang - Acta Mathematica Sinica, Chinese Series, 1997 - actamath.cjoe.ac.cn
In this paper, we introduce the notion of Wn-modules and describe non-commutative
coherent rings with finite FP-selfinjective dimension. The obtained results generalize the …
coherent rings with finite FP-selfinjective dimension. The obtained results generalize the …
Gorenstein projective dimension relative to a semidualizing bimodule
Z Liu, Z Huang, A Xu - Communications in Algebra, 2013 - Taylor & Francis
Let S and R be rings and SCR a semidualizing bimodule. We investigate the relation
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …