Products of flat modules and global dimension relative to ℱ-Mittag-Leffler modules
M Cortés-Izurdiaga - Proceedings of the American Mathematical Society, 2016 - ams.org
Let $ R $ be any ring. We prove that all direct products of flat right $ R $-modules have finite
flat dimension if and only if each finitely generated left ideal of $ R $ has finite projective …
flat dimension if and only if each finitely generated left ideal of $ R $ has finite projective …
A note on Gorenstein flat dimension
D Bennis - Algebra Colloquium, 2011 - World Scientific
Unlike the Gorenstein projective and injective dimensions, the majority of results on the
Gorenstein flat dimension have been established only over Noetherian (or coherent) rings …
Gorenstein flat dimension have been established only over Noetherian (or coherent) rings …
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 …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
Strongly Gorenstein flat modules
N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
In this paper, strongly Gorenstein flat modules are introduced and investigated. An R-
module M is called strongly Gorenstein flat if there is an exact sequence⋯→ P1→ P0→ P0→ …
module M is called strongly Gorenstein flat if there is an exact sequence⋯→ P1→ P0→ P0→ …
Strongly Gorenstein projective, injective and flat modules
X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
Weak Gorenstein global dimension
D Bennis - International Electronic Journal of Algebra, 2010 - dergipark.org.tr
In this paper, we investigate the weak Gorenstein global dimension. We are mainly
interested in studying the problem when the left and right weak Gorenstein global …
interested in studying the problem when the left and right weak Gorenstein global …
On the finiteness of Gorenstein homological dimensions
I Emmanouil - Journal of Algebra, 2012 - Elsevier
In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …
and flat dimensions. We examine conditions which imply that all Gorenstein projective …
Ding modules and dimensions over formal triangular matrix rings
L Mao - arXiv preprint arXiv:1912.06968, 2019 - arxiv.org
Let $ T=\biggl (\begin {matrix} A&0\\U&B\end {matrix}\biggr) $ be a formal triangular matrix
ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We prove that:(1) If …
ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We prove that:(1) If …
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 …
whether or not every $ R $-module has finite Ding projective or Ding injective dimension. In …
Gorenstein n-flat modules and their covers
C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …