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 …
Semidualizing modules and related modules
D Zhang, B Ouyang - Journal of Algebra and Its Applications, 2011 - World Scientific
In this paper, we prove that the Bass class with respect to a semidualizing bimodule C
contains all FP-injective S-modules. We introduce the definition of C-FP-injective modules …
contains all FP-injective S-modules. We introduce the definition of C-FP-injective modules …
C-fpn-Injective and C-fpn-Flat modules under Foxby equivalence
Let S and R be rings, SCR a (faithfully) semidualizing bi-module, and n 1 a natural number.
In this paper, we introduce the concepts of C-fpn-injective and C-fpn-at modules. Then we …
In this paper, we introduce the concepts of C-fpn-injective and C-fpn-at modules. Then we …
FP-Injective and FP-Flat Complexes
Z Gao, J Peng - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
Let R be an arbitrary ring and n ≥ 0 n≥ 0 be an integer or n= ∞ n=∞. We introduce and
study FP _n n-injective and FP _n n-flat complexes of modules, which unify the following …
study FP _n n-injective and FP _n n-flat complexes of modules, which unify the following …
Some results on -injective modules, -flat modules and -coherent rings
Z Zhu - Commentationes Mathematicae Universitatis Carolinae, 2015 - dml.cz
Let $ n, d $ be two non-negative integers. A left $ R $-module $ M $ is called $(n, d) $-
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …
On n-FI-Injective and n-FI-Flat Modules
Z Gao - Communications in Algebra, 2012 - Taylor & Francis
Let R be a ring, na fixed non-negative integer and ℱℐ n (ℱ n) the class of all left (right) R-
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …
Relative weak injective and weak flat modules with respect to a semidualizing module
Let R be a commutative ring, and let C be a semidualizing R-module. We introduce the
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …
[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 …
[HTML][HTML] Relative copure injective and copure flat modules
L Mao, N Ding - Journal of pure and Applied Algebra, 2007 - Elsevier
Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …
Characterizations of some rings with C-projective, C-(FP)-injective and C-flat modules
XG Yan, XS Zhu - Czechoslovak mathematical journal, 2011 - Springer
Let R be a commutative ring and C a semidualizing R-module. We investigate the relations
between C-flat modules and C-FP-injective modules and use these modules and their …
between C-flat modules and C-FP-injective modules and use these modules and their …