n-FP-injective and n-flat complexes

C Selvaraj, R Saravanan - Gulf Journal of Mathematics, 2016 - gjom.org
… of complexes and characterized such complexes. … n-flat and n-FP-injective modules to that
of complexes and characterize n-coherent rings in terms of n-flat and n-FP-injective complexes

Gorenstein n-FP-injective and Gorenstein n-flat complexes

C Selvaraj, R Saravanan - Bollettino dell'Unione Matematica Italiana, 2018 - Springer
… the notion of Gorenstein n-FP-injective complexes and we prove that the modules in a
Gorenstein n-FP-injective complex are precisely the Gorenstein n-FP-injective modules. Further, …

n-Flat and n-FP-injective modules

X Yang, Z Liu - Czechoslovak mathematical journal, 2011 - Springer
… In this paper, we study the existence of the n-flat preenvelope and the n-FPinjective cover. …
of the n-FP-injective and n-flat modules. Keywords: n-flat module, n-FP-injective module, n-…

Relative FP-gr-injective and gr-flat modules

T Zhao, Z Gao, Z Huang - International Journal of Algebra and …, 2018 - World Scientific
… In [7], Chen and Ding introduced the notions of n-FP-injective and n-flat modules, and they
showed that there are many similarities between coherent rings and n-coherent rings. Along …

n-gr-coherent rings and Gorenstein graded modules

M Amini, D Bennis, S Mamdouhi - Czechoslovak Mathematical Journal, 2022 - Springer
… Fi and Fi) as in the definition above are called n-FP-injective (or n-flat). Also, R-modules M
and N are called Gorenstein n-FP-injective and Gorenstein n-flat, respectively, and Kn−1 is a …

Gorenstein --Injective and --Flat Modules with Respect to a Special Finitely Presented Module

M Amini, A Benkhadra, D Bennis - Algebra Colloquium, 2021 - World Scientific
… using n-presented modules, n-FP-injective and n-flat modules. Bennis in [1… Recall that M is
said to be n-FP-injective [4] if Extn … So the following short exact sequence of complexes exists: …

Derived Functors of Hom Relative to n-Flat Covers

C Selvaraj, R Udhayakumar - Vietnam Journal of Mathematics, 2015 - Springer
… Using a similar argument to that for projective modules, we can show that this complex is
unique up to homotopy. This leads us to get new derived functors, which are well defined. We …

Finiteness properties and homological dimensions of Skew Group rings

V Gubitosi, R Parra - arXiv preprint arXiv:2207.10599, 2022 - arxiv.org
n-flat (or n-FP-injective, respectively) modules with the aim of characterizing the n-coherent
rings. … Then RG⊗R− preserves totally acyclic complex of flat-cotorsion modules. In particular it …

Two categorical studies: relative homological algebra of R-modules, fixpoint theorems for Q-categories

A Benkhadra - 2023 - theses.hal.science
… En général, pour une Q-catégorie, la situation est un peu complexe. Pour faire valoir
notre point de vue, nous devons rappeler la notion de distributeur, introduite par Bénabou. …

[PDF][PDF] 三角矩阵环上Gorenstein FP-内射模的刻画

吴德军, 周慧 - 《 山东大学学报(理学版)》, 2021 - lxbwk.njournal.sdu.edu.cn
… Gorenstein n-FP-injective and Gorenstein n-flat complexes [ J]. Bollettino dell̓Unione
Matematica Italianaꎬ 2016ꎬ 11(2):147-161. …