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
… Comparing with some classical results of Noetherian rings, we show … some new
characterizations of coherent rings, we mainly study some properties of strongly FP-injective …
characterizations of coherent rings, we mainly study some properties of strongly FP-injective …
Almost coherent modules and almost coherent sheaves
B Zavyalov - arXiv preprint arXiv:2110.10773, 2021 - arxiv.org
… case of almost coherent rings. We discuss base change results in Section 2.8. Finally, we
develop … The case of injective modules follows from the fact that (−)a admits an exact left adjoint …
develop … The case of injective modules follows from the fact that (−)a admits an exact left adjoint …
Graded rings and modules
H Matsumura - Commutative Ring Theory, 2023 - taylorfrancis.com
… section 2 will be a brief summary of some of the main results of … a *injective module is a
graded module which is an injective … For n E l we set Op(n) = 0p(1)0 n, and for a quasi-coherent …
graded module which is an injective … For n E l we set Op(n) = 0p(1)0 n, and for a quasi-coherent …
Flat cotorsion modules over Noether algebras
R Kanda, T Nakamura - Documenta Mathematica, 2022 - ems.press
… If the ring is left coherent and all flat right modules have finite … Using the injective module
IAop (P) over the opposite ring … In this section, we collect some known results, which we will …
IAop (P) over the opposite ring … In this section, we collect some known results, which we will …
n-gr-coherent rings and Gorenstein graded modules
… n-FP-gr-injective and Gorenstein n-gr-flat modules. Among other results, we prove that any
graded module … the FP-gr-injective modules on gr-coherent rings was investigated. Along the …
graded module … the FP-gr-injective modules on gr-coherent rings was investigated. Along the …
[PDF][PDF] Module classes induced by complexes and λ-pure-injective modules
M Cortés-Izurdiaga, J Šaroch - arXiv preprint arXiv:2104.08602, 2021 - researchgate.net
… results about λ-pure-injective modules for infinite regular cardinals λ. Finally, under different
set-theoretical hypotheses, we show that for an arbitrary ring … PGFlat over a left coherent ring. …
set-theoretical hypotheses, we show that for an arbitrary ring … PGFlat over a left coherent ring. …
On subinjectivity domains of RD-injective modules
Y Durğun - Asian-European Journal of Mathematics, 2022 - World Scientific
… is from being injective. In this paper, we consider three families of rings characterized by
their RD-injective left R-modules via the … Therefore, we have the following result over C rings. …
their RD-injective left R-modules via the … Therefore, we have the following result over C rings. …
FP-Injective and FP-Flat Complexes
Z Gao, J Peng - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
… injective and weak flat complexes were introduced, and many results of complexes have been
generalized from coherent … Since any direct product of FP\(_n\)-injective modules is FP\(_n\…
generalized from coherent … Since any direct product of FP\(_n\)-injective modules is FP\(_n\…
Acyclic complexes and Gorenstein rings
… over any ring R: every exact complex of injective modules is … Here we extend some results
of [5] to arbitrary rings. We … over a coherent ring R the following statements are equivalent (n < …
of [5] to arbitrary rings. We … over a coherent ring R the following statements are equivalent (n < …
[PDF][PDF] Rings and modules characterized by opposites of FP-injectivity
E Buyukasik, G Kafkas-Demirci - Bulletin of the Korean …, 2019 - openaccess.iyte.edu.tr
… First, we recall the characterization of FP-injective modules. … In the following result we
characterize when the absolutely pure … Right coherent rings, right semihereditary rings, local rings …
characterize when the absolutely pure … Right coherent rings, right semihereditary rings, local rings …