Homological invariants associated to semi-dualizing bimodules
T Araya, R Takahashi, Y Yoshino - Journal of Mathematics of …, 2005 - projecteuclid.org
… by semi-dualizing bimodules, which we introduce in this paper to generalize semi-dualizing …
In Section 2 we present a precise definition of a semi-dualizing bimodule and show several …
In Section 2 we present a precise definition of a semi-dualizing bimodule and show several …
[PDF][PDF] FP-injectivity relative to a semidualizing bimodule
X Tang - Publ. Math. Debrecen, 2012 - publi.math.unideb.hu
… , where S CR is a semidualizing bimodule over associative rings. … and sufficient condition
of semidualizing modules having finite … Yoshino, Homological invariants associated to semi-du…
of semidualizing modules having finite … Yoshino, Homological invariants associated to semi-du…
Homological dimensions and semidualizing complexes
AA Gerko - Journal of Mathematical Sciences, 2007 - Springer
… homology, we consider several homological invariants sharing … introduce the notion of a
semidualizing complex, which is a … such complexes and the homological dimension with respect …
semidualizing complex, which is a … such complexes and the homological dimension with respect …
Semidualizing modules and related modules
D Zhang, B Ouyang - Journal of Algebra and Its Applications, 2011 - World Scientific
… In this paper, we prove that the Bass class BC (S) with respect to a semidualizing bimodule
C contains all FP-injective S-modules. We introduce the definition of C-FPinjective modules, …
C contains all FP-injective S-modules. We introduce the definition of C-FPinjective modules, …
Semidualizing bimodules and related Gorenstein homological dimensions
A Xu, N Ding - Journal of Algebra and Its Applications, 2016 - World Scientific
… Let S CR be a semidualizing bimodule with S left coherent and R right coherent. For a non-…
for the Gorenstein homological dimensions with respect to a semidualizing bimodule (see …
for the Gorenstein homological dimensions with respect to a semidualizing bimodule (see …
Semidualizing modules and the divisor class group
S Sather-Wagstaff - Illinois Journal of Mathematics, 2007 - projecteuclid.org
… Among the finitely generated modules over a Noetherian ring R, the semidualizing modules
… the structure of the set of isomorphism classes of semidualizing R-modules. In particular, this …
… the structure of the set of isomorphism classes of semidualizing R-modules. In particular, this …
Totally reflexive modules with respect to a semidualizing bimodule
Z Zhang, X Zhu, X Yan - Czechoslovak mathematical journal, 2013 - Springer
… faithfully semidualizing bimodules over non-commutative rings, ie, a semidualizing bimodule
… We call a bimodule SDR dualizing if it is a semidualizing bimodule with finite left S- and …
… We call a bimodule SDR dualizing if it is a semidualizing bimodule with finite left S- and …
On the structure of the set of semidualizing complexes
A Gerko - Illinois Journal of Mathematics, 2004 - projecteuclid.org
… In particular, we prove that for a pair of semidualizing … of semidualizing modules of special
form. For rings with m3 = 0 this condition reduces to the existence of a nontrivial semidualizing …
form. For rings with m3 = 0 this condition reduces to the existence of a nontrivial semidualizing …
Homological dimensions with respect to a semidualizing complex
J Totushek - 2015 - search.proquest.com
… homological dimensions by establishing base change results and local-global behavior.
Furthermore, we investigate how these dimensions interact with other invariants… a semidualizing …
Furthermore, we investigate how these dimensions interact with other invariants… a semidualizing …
Relative torsionfree modules with respect to a faithfully balanced bimodule
Z Zhang - Communications in Algebra, 2021 - Taylor & Francis
… Moreover, when C is a semidualizing (S, R)-bimodule, we … class with respect to a semidualizing
module by virtue of the ∞-… [Semi-dualizing modules and related Gorenstein homologica …
module by virtue of the ∞-… [Semi-dualizing modules and related Gorenstein homologica …