[引用][C] Finiteness of relative Gorenstein homological dimensions

H Fan, X Tang - Journal of Algebra and Its Applications, 2023 - World Scientific
… It is well known that the projective, injective and flat modules are major research objects in
homological algebra. Abelian category is one of the most important categories in homological …

Super finitely presented modules and Gorenstein projective modules

F Wang, L Qiao, H Kim - Communications in Algebra, 2016 - Taylor & Francis
… [Citation10] also introduced the notion of Gorenstein flat modules. Recall that an R-module
M is called Gorenstein flat (G-flat for short), if there exists an exact sequence of flat R-modules

Frobenius functors and Gorenstein flat dimensions

J Hu, H Li, Y Geng, D Zhang - Communications in Algebra, 2020 - Taylor & Francis
… In Section 3, we study Frobenius bimodules and Gorenstein flat modules. In this section,
we prove that an R-module X is a Gorenstein flat (resp. Gorenstein projective) if and only if …

[PDF][PDF] GORENSETEIN Td n-INJECTIVE AND GORENSETEIN Td n-FLAT MODULES WHEN T IS A TILTING MODULE

M Amini - Palestine Journal of Mathematics, 2021 - pjm.ppu.edu
… a tilting module. In this paper, Gorenstein Td n -injective and Gorenstein Td n -flat modules
… ), then G is called Gorenstein Td n -injective (resp; Gorenstein Td n -flat) if there exists the …

Gorenstein hereditary rings with respect to a semidualizing module

G Zhao, B Zhang - Bulletin of the Iranian Mathematical Society, 2017 - bims.iranjournals.ir
… Then, relative to C, we introduce and study the rings over which every submodule of a projective
(flat) module is GC -projective (flat), which we call C-Gorenstein (semi)hereditary rings. …

Gorenstein flat modules over some Morita context rings

L Mao - Journal of Algebra and Its Applications, 2024 - World Scientific
… necessary conditions of Gorenstein projective modules over Morita … paper is to describe
Gorenstein flat modules over a Morita … necessary conditions of Gorenstein flat modules over the …

Finitistic dimension and endomorphism algebras of Gorenstein projective modules

A Zhang - arXiv preprint arXiv:1802.00669, 2018 - arxiv.org
… a Gorenstein projective A-module and B = EndAM, then M is a AB-bimodule. We use the
restricted flat … has become a main ingredient in the relative homological algebra, and is widely …

GORENSTEIN -PROJECTIVITY WITH RESPECT TO A TILTING MODULE

M Amini - International Electronic Journal of Algebra, 2020 - dergipark.org.tr
Let $T$ be a tilting module. In this paper, Gorenstein $\pi[T]$-projective modules are …
Moreover, some characterizations of rings over which all modules are Gorenstein $\pi[T]$-…

Duality pairs induced by one-sided Gorenstein subcategories

W Song, T Zhao, Z Huang - Bulletin of the Malaysian Mathematical …, 2020 - Springer
… In relative homological algebra, the Gorenstein homological … the Gorenstein homological
theory, the properties of Gorenstein projective, injective and flat modules and related modules

Gorenstein projective precovers in the category of modules

K Coggins - 2016 - digitalcommons.georgiasouthern …
… that every Gorenstein projective module is Gorenstein flat and every Gorenstein flat module
has finite Gorenstein projective … A relative version of homological algebra is the area called …