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 …

Some studies on Π-coherent rings

M Wang - Proceedings of the American Mathematical Society, 1993 - JSTOR
Some Studies on Π-Coherent Rings Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 119, Number 1, September 1993 SOME STUDIES ON If-COHERENT …

Weak global dimension of coherent rings

L Mao, N Ding - Communications in Algebra, 2007 - Taylor & Francis
In this article, we study the weak global dimension of coherent rings in terms of the left FP-
injective resolutions of modules. Let R be a left coherent ring and ℱ ℐ the class of all FP …

[HTML][HTML] Self-orthogonal modules over coherent rings

Z Huang, G Tang - Journal of Pure and Applied Algebra, 2001 - Elsevier
Let R be a left coherent ring, S any ring and RωS an (R, S)-bimodule. Suppose ωS has an
ultimately closed FP-injective resolution and RωS satisfies the conditions:(1) ωS is finitely …

∏-COHERENT DIMENSIONS AND∏-COHERENT RINGS

L Mao - Journal of the Korean Mathematical Society, 2007 - koreascience.kr
R is called a right ${\Pi}-coherent $ ring in case every finitely generated torsion less right R-
module is finitely presented. In this paper, we define a dimension for rings, called ${\Pi} …

FP-gr-injective modules

Y Xiaoyan, L Zhongkui - Mathematical Journal of Okayama University, 2011 - cir.nii.ac.jp
抄録 In this paper, we give some characterizations of FP-grinjective R-modules and graded
right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr …

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 …

Some remarks about -projectives modules

V Gubitosi, R Parra - arXiv preprint arXiv:2409.08334, 2024 - arxiv.org
Let $ R $ be a ring. In\cite {MD4} Mao and Ding defined an special class of $ R $-modules
that they called\(FP_n\)-projective $ R $-modules. In this paper, we give some new …

FP-gr-injective modules

X Yang, Z Liu - Mathematical Journal of Okayama …, 2011 - ousar.lib.okayama-u.ac.jp
In this paper, we give some characterizations of FP-grinjective R-modules and graded right
R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective …

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 …