[PDF][PDF] Homological invariants related to semidualizing bimodules
X Tang, Z Huang - Colloquium Mathematicum, 2019 - researchgate.net
Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …
Semidualizing bimodules and related Gorenstein homological dimensions
A Xu, N Ding - Journal of Algebra and Its Applications, 2016 - World Scientific
Let SCR be a semidualizing bimodule with S left coherent and R right coherent. For a non-
negative integer n, it is shown that l. FP-id S (C)= r. FP-id R (C)≤ n if and only if every finitely …
negative integer n, it is shown that l. FP-id S (C)= r. FP-id R (C)≤ n if and only if every finitely …
关于C-无挠模和C-自反模的若干同调性质
罗肖强, 谭玲玲, 邢建民 - 《 山东大学学报(理学版)》, 2019 - lxbwk.njournal.sdu.edu.cn
研究了关于半对偶化模的无挠和自反模的相对概念和同调性质ꎮ 证明了当C 是1-对偶化模时ꎬ
投射模的子模是完全C-自反模ꎬ 并且刻画了有有限GC-维数的C-无挠和C-自反模类ꎮ …
投射模的子模是完全C-自反模ꎬ 并且刻画了有有限GC-维数的C-无挠和C-自反模类ꎮ …
Tensor and torsion products of relative injective modules with respect to a semidualizing module
Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …
this paper, we show that C is generically dualizing if and only if the tensor products of …
[PDF][PDF] On relative Gorenstein homological dimensions with respect to a dualizing module
M Salimi - Mat. Vesnik, 2017 - emis.icm.edu.pl
Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …
relative Gorenstein modules with respect to a dualizing module. It is shown that every …
Tate cohomology of Gorenstein flat modules with respect to semidualizing modules
J Hu, Y Geng, N Ding - 2017 - projecteuclid.org
We study Tate cohomology of modules over a commutative Noetherian ring with respect to
semidualizing modules. First, we show that the class of modules admitting a Tate F_C …
semidualizing modules. First, we show that the class of modules admitting a Tate F_C …
Relative tilting modules with respect to a semidualizing module
M Salimi - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. The notion
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …
Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module
E Tavasoli - Communications in Algebra, 2019 - Taylor & Francis
Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …
Duality pairs induced by Gorenstein projective modules with respect to semidualizing modules
J Hu, Y Geng, N Ding - Algebras and Representation Theory, 2015 - Springer
Let C be a semidualizing module over a commutative Noetherian ring R. We investigate
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …