[HTML][HTML] Relative copure injective and copure flat modules
L Mao, N Ding - Journal of pure and Applied Algebra, 2007 - Elsevier
Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …
On copure projective modules and copure projective dimensions
X Fu, H Zhu, N Ding - Communications in Algebra, 2012 - Taylor & Francis
Let R be any ring. A right R-module M is called n-copure projective if Ext1 (M, N)= 0 for any
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …
On strongly copure flat modules and copure flat dimensions
X Fu, N Ding - Communications in Algebra, 2010 - Taylor & Francis
Let R be a left coherent ring. We first prove that a right R-module M is strongly copure flat if
and only if Ext i (M, C)= 0 for all flat cotorsion right R-modules C and i≥ 1. Then we define …
and only if Ext i (M, C)= 0 for all flat cotorsion right R-modules C and i≥ 1. Then we define …
Rings of copure projective dimension one
T Xiong - 대한수학회지, 2017 - dbpia.co.kr
In this paper, in terms of the notions of {\rm strongly} copure projective modules and the
copure projective dimension $ cpD (R) $ of a ring $ R $ were defined in\cite {FZD12}, we …
copure projective dimension $ cpD (R) $ of a ring $ R $ were defined in\cite {FZD12}, we …
[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 …
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …
[PDF][PDF] On w-copure flat modules and dimension
HK El Mehdi Bouba, M Tamekkante - Bull. Korean Math. Soc, 2020 - academia.edu
Let R be a commutative ring. An R-module M is said to be w-flat if Tor R 1 (M, N) is GV-
torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not …
torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not …
On Right Orthogonal Classes and Cohomology Over Ding–Chen Rings
T Zhao, Y Xu - Bulletin of the Malaysian Mathematical Sciences …, 2017 - Springer
In this paper, we investigate the properties of right orthogonal modules of CC, where CC is a
class of left R-modules. As an application, we investigate the properties of right orthogonal …
class of left R-modules. As an application, we investigate the properties of right orthogonal …
Gorenstein Prüfer 整环的一些新刻画
鐔婃稕 - 数学学报, 2020 - actamath.cjoe.ac.cn
设R 是整环. 众所周知, R 是Prüfer 整环当且仅当每个可除模是FP-内射模当且仅当每个h-
可除模是FP-内射模. 本文引进了一种新的GorensteinFP-内射模, 并且证明了R 是Gorenstein …
可除模是FP-内射模. 本文引进了一种新的GorensteinFP-内射模, 并且证明了R 是Gorenstein …
Almost Gorenstein Dedekind domains
S Xing, L Qiao, H Kim, K Hu - Journal of Algebra and Its Applications, 2023 - World Scientific
An integral domain R is said to be locally G-Dedekind if the Gorenstein global dimension of
R 𝔪 is at most one for each maximal ideal 𝔪. In this paper, we show that an integral domain …
R 𝔪 is at most one for each maximal ideal 𝔪. In this paper, we show that an integral domain …