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 …
Strongly Jn-Coherent rings
Z Zhu - International Electronic Journal of Algebra - dergipark.org.tr
… We study strongly J-n-injective modules, strongly J-n-flat modules and left strongly J-n-coherent
rings. … , we also present some characterizations of strongly J-n-coherent rings and J-n-…
rings. … , we also present some characterizations of strongly J-n-coherent rings and J-n-…
[PDF][PDF] -COCOHERENT RINGS, -COSEMIHEREDITARY RINGS AND --RINGS
Z Zhanmın - International Electronic Journal of Algebra, 2021 - dergipark.org.tr
… In this paper, right cocoherent rings will denote right co-coherent rings in order to facilitate. …
cogenerated injective module and E an (n−1)-copresented factor module of E with id(E ) ≤ d−…
cogenerated injective module and E an (n−1)-copresented factor module of E with id(E ) ≤ d−…
FPn-injective and FPn-flat modules with respect to a semidualizing bimodule
W Wu, Z Gao - Communications in Algebra, 2022 - Taylor & Francis
… We give some equivalent characterizations of left n-coherent rings … study C-FP n -injective
modules and C-FP n -flat modules, relative to … Our main results in this section are the following …
modules and C-FP n -flat modules, relative to … Our main results in this section are the following …
Injective modules with respect to modules of projective dimension at most one
S Bouchiba, M El-Arabi - International Electronic Journal of Algebra, 2019 - dergipark.org.tr
… and injective modules and they play an important role in generalizing many classical results
… This proves our claim and yields that R is left coherent, by [7, Theorem 1]. Therefore, FP-I(R) …
… This proves our claim and yields that R is left coherent, by [7, Theorem 1]. Therefore, FP-I(R) …
On characterizations of w-coherent rings II
X Zhang, F Wang - Communications in Algebra, 2021 - Taylor & Francis
… w -stationary modules over all injective modules E and show that R is w-coherent if and only
if any (… version of this result, that is, a ring R is w-coherent if and only if any product of R is w-…
if any (… version of this result, that is, a ring R is w-coherent if and only if any product of R is w-…
Gorenstein --Injective and --Flat Modules with Respect to a Special Finitely Presented Module
… of Gorenstein FP-injective modules mainly over a coherent ring (for more … nX -injective and
nX -flat modules. We generalize some results of [20] to the context of nX -injective and nX -flat …
nX -flat modules. We generalize some results of [20] to the context of nX -injective and nX -flat …
Strongly (T, n)-Coherent Rings, (T, n)-Semihereditary Rings and (T, n)-Regular Rings
Z Zhu - Czechoslovak Mathematical Journal, 2020 - Springer
… n-coherent rings. In 2015, we introduced the concepts of weakly n-FP-injective modules and
weakly n-flat modules in [… If m < n, then it is clear that the result holds. Assume that every (T ,…
weakly n-flat modules in [… If m < n, then it is clear that the result holds. Assume that every (T ,…
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 …
The rings in which all super finitely presented modules are Gorenstein projective
S Xing, F Wang - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
… injective module over a coherent ring is always FP-injective. So, we need to find a “generalized
coherent ring… We note Colby’s result in [7, Proposition 1], and it is stated that a ring R is a …
coherent ring… We note Colby’s result in [7, Proposition 1], and it is stated that a ring R is a …