On Ding injective, Ding projective and Ding flat modules and complexes

J Gillespie - 2017 - projecteuclid.org
… We characterize Ding modules and complexes over Ding-… a DingChen ring R, the Ding
projective (respectively, Ding injec… Ding injective modules and chain complexes over Ding-Chen …

Ding modules and dimensions over formal triangular matrix rings

L Mao - arXiv preprint arXiv:1912.06968, 2019 - arxiv.org
… The present paper is devoted to Ding projective and Ding injective modules and dimensions
over formal triangular matrix rings. In Section 3, let UA and BU have finite flat dimensions, …

Projectively coresolved Gorenstein flat and ding projective modules

A Iacob - Communications in Algebra, 2020 - Taylor & Francis
… -modules that contains the injective modules we have that D P = P G F B if and only if every
Ding projective module … F if and only if every Ding projective module has finite Gorenstein flat …

Ding projective and Ding injective modules over trivial ring extensions

L Mao - Czechoslovak Mathematical Journal, 2023 - Springer
Ding projective left R ⋉ M-module if and only if the sequence M ⊗R M ⊗R Xm ⊗α −→ M ⊗R
X α → X is exact and coker(α) is a Ding projective left R-moduleDing projective modules over …

Weakly Ding injective modules and complexes

A Iacob - Communications in Algebra, 2023 - Taylor & Francis
… a Ding Chen ring such that every FP-injective module has finite projective dimension, then
the two classes of modules … Consequently, the class of weakly Ding injective modules is also …

Characterizations of Ding injective complexes

G Yang, S Estrada - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
… chain complex I of injective modules is Ding injective in \(\… (1) Since projective modules are
Ding projective, we would … G with all terms \(G_m\) Ding projective in R-Mod and any acyclic …

Duality pairs, generalized Gorenstein modules, and Ding injective envelopes

J Gillespie, A Iacob - Comptes …, 2022 - comptes-rendus.academie-sciences …
… In this case, we call L the projective class and A the injective class. If (L ,A ) is indeed perfect,
then … all injective modules we conclude W ⋂GIB is exactly the class of all injective modules. …

-Modules

N Ding, Y Ibrahim, M Yousif, Y Zhou - Journal of Algebra and Its …, 2017 - World Scientific
… We call M projective relative to N (or N-projectivemodule of an injective R-module is a
D4-module. (6) R is a von Neumann regular ring over which every injective module is a D4-module

Ding injective envelopes in the category of complexes

J Gillespie, A Iacob - Rendiconti del Circolo Matematico di Palermo Series …, 2023 - Springer
… of Gorenstein injective (respectively, projective) modules. We … the Ding injectivity of a complex
X and the Ding injectivity of the … FP-injective modules, so we recall first that a module A is …

Generalized Gorenstein modules

A Iacob - Algebra Colloquium, 2022 - World Scientific
… They are the cycles of the exact complexes of injective modules that … of the Ding injective
modules uses FP-injective modules, we … The Ding projective and the Ding injective modules are …