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
… from [9], we describe the semidualizing modules over a determinantal ring in Theorem 4.5. …
… from [9], we describe the semidualizing modules over a determinantal ring in Theorem 4.5. …
Global dimensions of rings with respect to a semidualizing module
G Zhao, J Sun - arXiv preprint arXiv:1307.0628, 2013 - arxiv.org
… modules. For more details of these two modules, see [2]. Based on the above results, in this
… we mainly study the global dimensions of a ring R with respect to a semidualizing module. …
… we mainly study the global dimensions of a ring R with respect to a semidualizing module. …
Relative tilting modules with respect to a semidualizing module
M Salimi - Czechoslovak Mathematical Journal, 2019 - Springer
… ring and all modules are unital. Tilting … R-module is C-projective, where C is a semidualizing
R-module. Finally, we investigate some kernel subcategories related to C-tilting modules. …
R-module. Finally, we investigate some kernel subcategories related to C-tilting modules. …
Envelopes, covers and semidualizing modules
L Mao - Journal of Algebra and Its Applications, 2019 - World Scientific
… D over a commutative ring R, we investigate the relationship between the existence of D-envelopes
(respectively, D-covers) and the existence of Hom(C, D)-envelopes or C ⊗D-…
(respectively, D-covers) and the existence of Hom(C, D)-envelopes or C ⊗D-…
On the structure of the set of semidualizing complexes
A Gerko - Illinois Journal of Mathematics, 2004 - projecteuclid.org
… of semidualizing modules over artinian rings we obtain a number of quantitative results for
rings possessing a configuration of semidualizing modules of special form. For rings with m3 …
rings possessing a configuration of semidualizing modules of special form. For rings with m3 …
Presentations of rings with non-trivial semidualizing modules
DA Jorgensen, GJ Leuschke… - Collectanea mathematica, 2012 - Springer
… R-module C is semidualizing if it is self-orthogonal and HomR(C,C) ∼= R. We prove that
a Cohen– Macaulay ring R with dualizing module D admits a semidualizing module C …
a Cohen– Macaulay ring R with dualizing module D admits a semidualizing module C …
Multiplicities of semidualizing modules
SM Cooper, S Sather-Wagstaff - Communications in Algebra, 2013 - Taylor & Francis
… The classes of rings we investigate include those that are determined by ideals defining fat
… local ring with a dualizing module D. A finitely generated R-module C is semidualizing if Hom …
… local ring with a dualizing module D. A finitely generated R-module C is semidualizing if Hom …
On the theory and applications of -dimension with respect to a semidualizing module
CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2024 - World Scientific
… We also consider C-duals and initiate the study of C-valued derivation modules over a
local ring R of low depth; if C = R and R is a three-dimensional Gorenstein domain, we find a …
local ring R of low depth; if C = R and R is a three-dimensional Gorenstein domain, we find a …
[HTML][HTML] Semidualizing modules of 2× 2 ladder determinantal rings
SK Sather-Wagstaff, T Se, S Spiroff - Journal of Algebra, 2019 - Elsevier
… cardinality of the set of semidualizing modules S 0 ( R ) of a Noetherian local ring R: Must it
… of ladder determinantal rings. These rings generalize the classical determinantal rings in a …
… of ladder determinantal rings. These rings generalize the classical determinantal rings in a …
Semidualizing modules and related modules
D Zhang, B Ouyang - Journal of Algebra and Its Applications, 2011 - World Scientific
… (S) with respect to a semidualizing bimodule C contains all FP-injective S-modules. We
introduce … We give some characterizations of right coherent rings by C-flat S-modules, and C-FP-…
introduce … We give some characterizations of right coherent rings by C-flat S-modules, and C-FP-…