Some precovers and preenvelopes in functor categories

Z Xie, Z Liu - Indian Journal of Pure and Applied Mathematics, 2021 - Springer
… by n-strongly FP-injective and n-strongly flat functors. In … of n-strongly FP-injective and n-strongly
flat functors. Secondly, we … basic homological properties of this two classes of functors. …

[PDF][PDF] On K-absolutely pure complexes

I Emmanouil, I Kaperonis - Preprint, available at http://users. uoa. gr …, 2022 - users.uoa.gr
… We explore the relevance of strongly fp-injective modules in … [17]; these are the modules
that annihilate the functors Extn … to the description of Kflat complexes of flat modules. Finally, in …

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
strongly FP-injectiveFP-injective and any strongly FP-injective module is a pure quotient
module of some injective module (Theorem 3.4). It is also shown that any strongly FP-injective

Fp-projective periodicity

S Bazzoni, M Hrbek, L Positselski - arXiv preprint arXiv:2212.02300, 2022 - arxiv.org
… The proof is quite elementary, using only a strong form of the pure-… strongly fp-injective
modules. An R-module J is said to be … functor ⊗R : Mod–R×R–Mod −→ Ab, and its derived functor

Pure projective modules and FP-injective modules over Morita rings

M Yan, H Yao - Frontiers of Mathematics in China, 2020 - Springer
… Since now MA is flat and f is monic, we get that f1 is monic. By Lemma 3.6, we … FP-injective
(redp., strongly FP-injective). Similarly, we get that Y is FP-injective (resp., strongly FP-injective

Gorenstein projective precovers and finitely presented modules

S Estrada, A Iacob - arXiv preprint arXiv:2303.00213, 2023 - arxiv.org
… exact when applying a functor Hom(−,F), with F any flat module. It … We use SFPI to denote
the class of strongly FP-injective … of strongly FP-injective modules is simply that of FP-injective

[PDF][PDF] COPURE PROJECTIVE MODULES OVER FGV-DOMIANS AND GORENSTEIN PRUFER DOMAINS

S XING - Bull. Korean Math. Soc, 2022 - researchgate.net
… To do this, we characterize G-Prüfer domains by G-flat modules, and … G-Prüfer domains by
strongly copure projective ideals. … of an FP-injective module is also FP-injective (Theorem 9), …

Ding projective and Ding injective modules over trivial ring extensions

L Mao - Czechoslovak Mathematical Journal, 2023 - Springer
… , which they called strongly Gorenstein flat and Gorenstein FP-injective modules, respectively,
… We note that the functors T and C are right exact, H and K are left exact, U and Z are exact. …

Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
strongly Gorenstein flat modules as an important and structural part of relative Gorenstein flat
… of finite dimension in terms of the vanishing of the right homological functor (in our case the …

[引用][C] Strongly Gorenstein-Injective Modules over Morita Rings

D Asefa - Journal of Algebra and its Applications, 2023 - World Scientific
… The notion of strongly Gorenstein projective, injective and flat … of strongly Gorenstein-projective,
injective and flat modules over … pure projective modules and FP-injective modules over …