Homological properties of modules over Ding-Chen rings

G Yang - 대한수학회지, 2012 - dbpia.co.kr
The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injective dimensions at most n for some non-negative integer n. In …

Model structures on modules over Ding-Chen rings

J Gillespie - 2010 - projecteuclid.org
An n-FC ring is a left and right coherent ring whose left and right self-FP-injective dimension
is n. The work of Ding and Chen shows that these rings possess properties which generalize …

Ding projective dimension of Gorenstein flat modules

J Wang - 대한수학회보, 2017 - dbpia.co.kr
Let $ R $ be a Ding-Chen ring. Yang\cite {Yang2012} and Zhang\cite {Zhang2015} asked
whether or not every $ R $-module has finite Ding projective or Ding injective dimension. In …

[PDF][PDF] On GI-flat modules and dimensions

Z Gao - Journal of the Korean Mathematical Society, 2013 - researchgate.net
Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …

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

J Gillespie - 2017 - projecteuclid.org
We characterize Ding modules and complexes over Ding-Chen rings. We show that, over a
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …

$(\\Flat,\\A) $-Gorenstein flat homological dimensions

V Becerril - 대한수학회지, 2022 - dbpia.co.kr
In this paper we develop the homological properties of the Gorenstein $(\Le,\A) $-flat $ R $-
modules $\GF_ {(\Flat (R),\A)} $ proposed by Gillespie,\linebreak where the class …

Strongly Gorenstein flat and Gorenstein FP-injective modules

C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …

Coherent rings with finite self-FP-injective dimension

N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …

Gorenstein homological dimensions of modules over triangular matrix rings

R Zhu, Z Liu, Z Wang - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
Abstract Let $ A $ and $ B $ be rings, $ U $ a $(B, A) $-bimodule, and $ T=\left (\begin
{smallmatrix} A & 0\\U & B\\\end {smallmatrix}\right) $ the triangular matrix ring. In this paper …

Model structures on categories of complexes over Ding-Chen rings

G Yang, Z Liu, L Liang - Communications in Algebra, 2013 - Taylor & Francis
The so-called Ding–Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injecitve dimensions at most n for some non-negative integer n. In …