Characterizations of Ding injective complexes

G Yang, S Estrada - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
Let R be a ring and X a chain complex of R-modules. It is proven that if each term X_i X i is
Ding injective in R-Mod for all i ∈ Z i∈ Z, and there exists an integer k such that each Z _iX …

Ding projective and Ding injective modules over trivial ring extensions

L Mao - Czechoslovak Mathematical Journal, 2023 - Springer
Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M such that MR,
RM,(R, 0) R⋉ M and R⋉ M (R, 0) have finite flat dimensions. We prove that (X, α) is a Ding …

Recollements from Ding Injective Modules

M Wang, Z Wang, P Yang - Bulletin of the Malaysian Mathematical …, 2021 - Springer
Let A and B be rings, U a (B, A)-bimodule and T= A& 0\U& BT= A 0 UB a triangular matrix
ring. In this paper, we firstly construct a right recollement of stable categories of Ding …

Ding injective envelopes in the category of complexes

J Gillespie, A Iacob - Rendiconti del Circolo Matematico di Palermo Series …, 2023 - Springer
A complex X is called Ding injective if there exists an exact sequence of injective
complexes…→ E 1→ E 0→ E-1→… such that X= K er (E 0→ E-1), and the sequence …

Ding projective and Ding injective modules

G Yang, Z Liu, L Liang - Algebra Colloquium, 2013 - World Scientific
An R-module M is called Ding projective if there exists an exact sequence⋯→ P1→ P0→
P0→ P1→⋯ of projective R-modules with M= Ker (P0→ P1) such that Hom (-, F) leaves the …

On Ding projective complexes

G Yang, XS Da - Acta Mathematica Sinica, English Series, 2018 - Springer
Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Nov., 2018, Vol. 34, No. 11, pp. 1718–1730 Published online: June 6, 2018 https://doi.org/10.1007/s10114-018-7461-7 …

The endomorphism ring of a square-free injective module

MH Bien - Acta Mathematica Vietnamica, 2015 - Springer
The Endomorphism Ring of a Square-free Injective Module | SpringerLink Skip to main content
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On Right Orthogonal Classes and Cohomology Over Ding–Chen Rings

T Zhao, Y Xu - Bulletin of the Malaysian Mathematical Sciences …, 2017 - Springer
In this paper, we investigate the properties of right orthogonal modules of CC, where CC is a
class of left R-modules. As an application, we investigate the properties of right orthogonal …

Decomposing elements of a right self-injective ring

F Siddique, AK Srivastava - Journal of Algebra and Its Applications, 2013 - World Scientific
It was proved independently by both Wolfson [An ideal theoretic characterization of the ring
of all linear transformations, Amer. J. Math. 75 (1953) 358–386] and Zelinsky [Every linear …

[PDF][PDF] Generalized-hollow [lifting] _gmodules

NM Mosa, W Khalid - Iraqi Journal of Science, 2018 - iasj.net
Let R be any ring with identity, and let M be a unitary left R-module. A submodule K of M is
called generalized coessential submodule of N in M, if (N)/K⊆[Rad] _g (M/K). A module M is …