Ding projective dimension of Gorenstein flat modules

J Wang - Bulletin of the Korean Mathematical Society, 2017 - koreascience.kr
Let R be a Ding-Chen ring. Yang [24] and Zhang [25] asked whether or not every R-module
has finite Ding projective or Ding injective dimension. In this paper, we give a new …

The construction D + XDS [X] and G-Prüfer domains

K Hu, JW Lim, DC Zhou - Communications in Algebra, 2023 - Taylor & Francis
Let D be an integral domain with quotient field K, S a (not necessarily saturated)
multiplicative subset of D and D+ XDS [X]={f∈ DS [X]| f (0)∈ D}. In this paper, we show that …

Gorenstein dimensions in trivial ring extensions

N Mahdou, K Ouarghi - … and its Applications: Proceedings of the …, 2009 - books.google.com
In this paper, we show that the Gorenstein global dimension of trivial ring extensions is often
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …

Tate homology with respect to cotorsion pairs

Z Di, Z Liu, X Zhang - Communications in Algebra, 2018 - Taylor & Francis
Given two complete hereditary cotorsion pairs (𝒬, ℛ) and (𝒬′, ℛ′) in the category of
modules which satisfy the conditions 𝒬′⊆ 𝒬, 𝒬∩ ℛ= 𝒬′∩ ℛ′, and ℛ′ is enveloping, a …

[PDF][PDF] Gorenstein hereditary rings with respect to a semidualizing module

G Zhao, B Zhang - Bulletin of the Iranian Mathematical Society, 2017 - bims.iranjournals.ir
‎ Let $ C $ be a semidualizing module‎.‎ We first investigate the properties of‎‎ finitely generated
$ G_C $-projective modules‎.‎ Then‎,‎ relative to $ C $‎,‎ we introduce and study the rings over …

Another Gorenstein analogue of flat modules

L Mao - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A right R-module M is called glat if any homomorphism from any finitely
presented right R-module to M factors through a finitely presented Gorenstein projective …

[引用][C] The construction D+ DX+ DX 2+⋯+ DX k+ X k+ 1 K [X]

K Hu, L Wang, C Zhou, J Xie - Journal of Algebra and its …, 2023 - World Scientific
The construction Page 1 Accepted manuscript to appear in JAA Accepted Manuscript Journal of
Algebra and its Applications Article Title: The construction + + 2 +···+ + +1 [] Author(s): Kui Hu …