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. …

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. …

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 …

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-…

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 …

[PDF][PDF] The amalgamated duplication of a ring along a semidualizing ideal

M Salimi, E Tavasoli, S Yassemi - Rendiconti del Seminario …, 2013 - numdam.org
… it allows to produce rings satisfying preassigned … ring RI for semidualizing ideal I. In
Section 3, we show that if I is an ideal of Noetherian ring R such that I is a semidualizing R-module

Presentations of rings with a chain of semidualizing modules

E Amanzadeh, MT Dibaei - Mathematica Scandinavica, 2017 - JSTOR
rings R which admit a dualizing module and a certain chain in ®o(R). We prove that, when a
Cohen-Macaulay ring R with dualizing module … there exist a Gorenstein ring Q and ideals I' ,..…

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-…

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 …

Homological aspects of semidualizing modules

R Takahashi, D White - Mathematica Scandinavica, 2010 - JSTOR
… In this paper, we investigate semi dualizing modules and associated relative … of semi dualizing
modules. Over a noetherian ring R, a finitely generated R-module C is semidualizing if the …