FGT-injective dimensions of Π-coherent rings and almost excellent extension
Y Xiang - Proceedings-Mathematical Sciences, 2010 - Springer
We study, in this article, the FGT-injective dimensions of Π-coherent rings. If R is right Π-
coherent, and TI (resp. TF) stands for the class of FGT-injective (resp. FGT-flat) R-modules …
coherent, and TI (resp. TF) stands for the class of FGT-injective (resp. FGT-flat) R-modules …
FP-injective complexes and FP-injective dimension of complexes
Z Wang, Z Liu - Journal of the Australian Mathematical Society, 2011 - cambridge.org
In this paper we extend the notion of FP-injective modules to that of complexes and
characterize such complexes. We show that some characterizations similar to those for …
characterize such complexes. We show that some characterizations similar to those for …
[PDF][PDF] On FI-Projective Modules and Dimensions
NH Alshehri, K Ouarghi - Palestine Journal of Mathematics, 2022 - pjm.ppu.edu
On FI-Projective Modules and Dimensions Page 1 Palestine Journal of Mathematics Vol. 11(4)(2022)
, 160–166 © Palestine Polytechnic University-PPU 2022 On FI-Projective Modules and …
, 160–166 © Palestine Polytechnic University-PPU 2022 On FI-Projective Modules and …
[HTML][HTML] DIMENSIONS RELATIVE TO A COTORSION PAIR
X SONG, X ZHANG - 数学杂志, 2014 - sxzz.whu.edu.cn
In this paper, let $ R $ be a ring and $(\mathcal {F},\mathcal {C}) $ a cotorsion pair of right $
R $-modules. $\mathcal {F} $-dimension ($\mathcal {C} $-dimension) of right $ R $-modules …
R $-modules. $\mathcal {F} $-dimension ($\mathcal {C} $-dimension) of right $ R $-modules …
[PDF][PDF] Weak -injective and weak -fat modules
A Umamaheswaran, R Saravanan… - Czechoslovak …, 2022 - researchgate.net
In this paper, we introduce and study the concepts of weak n-injective and weak n-flat
modules in terms of super finitely presented modules whose projective dimension is at most …
modules in terms of super finitely presented modules whose projective dimension is at most …
The Direct and Inverse Limits of w-Modules
DC Zhou, FG Wang - Communications in Algebra, 2016 - Taylor & Francis
In this article, the direct and inverse limits of w-modules of a commutative ring R are
discussed. We prove that, if {M i} is a family of w-modules of R, then and are both w …
discussed. We prove that, if {M i} is a family of w-modules of R, then and are both w …
Resolutions and dimensions of relative injective modules and relative flat modules
Y Zeng, J Chen - Bulletin of the Korean Mathematical Society, 2013 - koreascience.kr
Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be ($
m $, $ n $)-injective if $ Ext^ 1$(P, M)= 0 for any ($ m $, $ n $)-presented right R-module P; …
m $, $ n $)-injective if $ Ext^ 1$(P, M)= 0 for any ($ m $, $ n $)-presented right R-module P; …
On copure projective modules and copure projective dimensions
X Fu, H Zhu, N Ding - Communications in Algebra, 2012 - Taylor & Francis
Let R be any ring. A right R-module M is called n-copure projective if Ext1 (M, N)= 0 for any
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …
Relative copure modules and Foxby equivalence
Z Zhang, J Wei - Communications in Algebra, 2021 - Taylor & Francis
Let R be a commutative ring and C a semidualizing R-module. For a non-negative integer n,
we study a natural generalization of copure injective (flat) modules by introducing the …
we study a natural generalization of copure injective (flat) modules by introducing the …
[PDF][PDF] Localization of injective modules over w-Noetherian rings
H Kim, F Wang - Bull. Korean Math. Soc, 2013 - researchgate.net
LOCALIZATION OF INJECTIVE MODULES OVER w-NOETHERIAN RINGS Reprinted from
the Bulletin of the Korean Mathematical Society Vol. 50 Page 1 Bull. Korean Math. Soc. 50 (2013) …
the Bulletin of the Korean Mathematical Society Vol. 50 Page 1 Bull. Korean Math. Soc. 50 (2013) …