FP-injective objects in the category of N-complexes
B Lu - Indian Journal of Pure and Applied Mathematics, 2024 - Springer
We show that an N-complex of modules C is FP-injective if and only if C is N-exact and Z ni
(C) is an FP-injective module for each i= 1, 2,⋯, N and each n∈ Z by virtue of Gaussian …
(C) is an FP-injective module for each i= 1, 2,⋯, N and each n∈ Z by virtue of Gaussian …
Strongly FP-injective modules
W Li, J Guan, B Ouyang - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A module M is called strongly FP-injective if Ext i (P, M)= 0 for any finitely
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …
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 …
FP-injective and weakly quasi-Frobenius rings
GA Garkusha - Journal of Mathematical Sciences, 2002 - Springer
The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The
properties of both classes of rings are closely related to the embedding of finitely presented …
properties of both classes of rings are closely related to the embedding of finitely presented …
On f-injective modules
M Zayed - Archiv der Mathematik, 2002 - Springer
In this paper, the notions of f-injective and f*-injective modules are introduced. Elementary
properties of these modules are given. For instance, a ring R is coherent iff any ultraproduct …
properties of these modules are given. For instance, a ring R is coherent iff any ultraproduct …
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 …
Some characterizations of coherent rings in terms of strongly FP-injective modules
M Chen, H Kim, F Wang, X Zhang - Communications in Algebra, 2020 - Taylor & Francis
An R-module M is called strongly FP-injective if Ext R i (P, M)= 0 for any finitely presented R-
module P and any i> 0. Denoted by SFI the class of all strongly FP-injective R-modules and …
module P and any i> 0. Denoted by SFI the class of all strongly FP-injective R-modules and …
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 …
Complexes of FP-injective modules
Y Geng - Algebra Colloquium, 2010 - World Scientific
In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …
n-FP-injective and n-flat complexes
C Selvaraj, R Saravanan - Gulf Journal of Mathematics, 2016 - gjom.org
In this paper, we extend the notions of n-FP-injective and n-flat modules to that of complexes
which we call n-FP-injective and n-flat complexes, respectively and we show that the class of …
which we call n-FP-injective and n-flat complexes, respectively and we show that the class of …