[PDF][PDF] GORENSTEIN FI-FLAT DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE.

V Biju, R Udhayakumar, C Selvaraj - Palestine Journal of Mathematics, 2018 - pjm.ppu.edu
This paper presents some properties of GC-FI-flat modules, where C is a semidualizing
module and we investigate the relation between the GC-yoke with the C-yoke of a module …

[PDF][PDF] GORENSTEIN n-FLAT DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE

R Udhayakumar, C Selvaraj - Palestine Journal of Mathematics, 2016 - pjm.ppu.edu
In this paper, we study some properties of GC-n-flat modules, where C is a semidualizing
module and we investigate the relation between the m-GC-yoke with the mC-yoke of a …

THE DIMENSIONS OF GORENSTEIN XY-FLAT MODULES WITH RESPECT TO A SEMIDUALIZING MODULES

V BIJU, R UDHAYAKUMAR… - Advanced Studies in …, 2018 - dbpia.co.kr
In this paper, we introduce and investigate the notion of Gorenstein XY-flat modules with
respect to a semidualizing module and also study the relationship between the GC-XY-flat …

On GI-flat and GF-torsion modules

W Xiujian, Z Yu'e, DU Xianneng - JUSTC, 2015 - just.ustc.edu.cn
Two classes of modules were studied: GI-flat and GF-torsion modules, where GI stands for
Gorenstein injective modules and GF for Gorenstein flat modules. Two homological …

Gorenstein projective dimension relative to a semidualizing bimodule

Z Liu, Z Huang, A Xu - Communications in Algebra, 2013 - Taylor & Francis
Let S and R be rings and SCR a semidualizing bimodule. We investigate the relation
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …

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) …

Gorenstein -flat modules and weak global dimensions

V Becerril - arXiv preprint arXiv:2303.12955, 2023 - arxiv.org
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathcal {Y} $-flat modules recently studied by S. Estrada, A. Iacob …

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 …

[PDF][PDF] GORENSTEIN FI-FLAT MODULES AND RELATIVE SINGULARITY CATEGORIES

V BIJU, A UMAMAHESWARAN - research-publication.com
In this article we proved that the quotient triangulated category is triangle-equivalent to the
stable category of the Frobenius category of all Gorenstein FI-flat and FI-cotorsion left 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 …