[引用][C] PI-injective module

JS Hu, MS Chen, Y Pan - Journal of …, 2010 - Zhejiang University Press, 20 Yugu …

Torsion functors of generalized local cohomology modules

Y Rahimpour Nasbi, A Vahidi… - Communications in …, 2017 - Taylor & Francis
Let R be a commutative Noetherian ring, 𝔞 an ideal of R, M a finite R–module with finite
projective dimension, and X an arbitrary R–module. In this paper, for fixed integers s, t and …

On n-coherent rings and (n, d)-injective modules

D Zhang, B Ouyang - Algebra Colloquium, 2015 - World Scientific
Let R be a ring, n, d be fixed non-negative integers, the class of (n, d)-injective left R-
modules, and the class of (n, d)-flat right R-modules. In this paper, we prove that if R is a left …

Finitely generated cotorsion modules

EE Enochs, JRG Rozas, L Oyonarte - Proceedings of the Edinburgh …, 2001 - cambridge.org
We describe the structure of finitely generated cotorsion modules over commutative
noetherian rings. Also we characterize the so-called covering morphisms between finitely …

Cofiniteness of local cohomology modules for a pair of ideals for small dimensions

M Aghapournahr - Journal of Algebra and Its Applications, 2018 - World Scientific
Let R be a commutative Noetherian ring, I and J be two ideals of R and M be an R-module
(not necessary I-torsion). In this paper among other things, it is shown that if dim M≤ 1, then …

[PDF][PDF] Y-Gorenstein Cotorsion Modules

D HE, Y LI - Chinese Quarterly Journal of Mathematics, 2021 - sxjk.magtechjournal.com
Y-Gorenstein Cotorsion Modules Page 1 Chin. Quart. J. of Math. 2021, 36(3): 288–295 Y-Gorenstein
Cotorsion Modules HE Dong-lin, LI Yu-yan (Department of Mathematics, Longnan Teachers …

On τ-coherent rings

K Masaike - Ring Theory 2007, 2009 - World Scientific
We study left-right symmetry of rings for which every fnitely generated torsion free left (or
right) module is embedded into free modules. We give a necessary and sufficient condition …

Weak n-injective and weak n-fat modules

U Arunachalam, S Raja, S Chelliah… - Czechoslovak …, 2022 - Springer
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 n, which generalize …

Left cotorsion rings

PAG Asensio, I Herzog - Bulletin of the London Mathematical Society, 2004 - cambridge.org
It is proved that if R is an associative ring that is cotorsion as a left module over itself, and J is
the Jacobson radical of R, then the quotient ring R/J is a left self-injective von Neumann …

FP-injective dimensions and Gorenstein homology

G Yang, J Wang - Proceedings of the Edinburgh Mathematical …, 2022 - cambridge.org
Let $ R $ be a left coherent ring. It is proven that if an $ R $-module $ M $ has a finite FP-
injective dimension, then the Gorenstein projective (resp. Gorenstein flat) dimension and the …