On the theory and applications of -dimension with respect to a semidualizing module

CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2023 - World Scientific
generalizations; we refer, eg to [3–5, 9, 13, 22, 48]. A remarkable advance is the concept of
Gdimension relative to a semidualizing module (… section is to extend a theorem due to Masek (…

Linkage of modules with respect to a semidualizing module

MT Dibaei, A Sadeghi - Pacific Journal of Mathematics, 2018 - msp.org
… We also establish a duality on local cohomology modules of a linked module which is a
generalization of [Schenzel 1982, Theorem 4.1; Martsinkovsky and Strooker 2004, Theorem 10] (…

[图书][B] Quasidualizing modules

BA Kubik - 2011 - search.proquest.com
… of duality with respect to a semidualizing module, as is duality … By putting extra conditions
on the modules in Theorem 0.5, we … Many of our results generalize to the non-local setting. As …

Envelopes, covers and semidualizing modules

L Mao - Journal of Algebra and Its Applications, 2019 - World Scientific
Semidualizing modules as a generalization of dualizing … Later, Holm and White [14] extended
the definition of semidualizing modules to general associative … Theorem 3.2. Let C be a …

Semidualizing modules and the divisor class group

S Sather-Wagstaff - Illinois Journal of Mathematics, 2007 - projecteuclid.org
… from [9], we describe the semidualizing modules over a determinantal ring in Theorem 4.5. …
The next result is a considerable generalization of Theorem 4.2 that encompasses Theorem

Homological aspects of semidualizing modules

R Takahashi, D White - Mathematica Scandinavica, 2010 - JSTOR
modules as tools for investigating co homology theories in algebraic geometry. In this paper,
we investigate semi dualizing modules … By virtue of Theorem 2.8, we now obtain additional …

Semi-dualizing complexes and their Auslander categories

L Christensen - Transactions of the American Mathematical Society, 2001 - ams.org
… This paper offers a generalized and unified treatment of some of the … modules among these
complexes: A semi-dualizing module … The next theorem shows that for C = R dagger duality is …

Gorenstein projective dimension with respect to a semidualizing module

D White - Journal of Commutative Algebra, 2010 - JSTOR
modules over a Noetherian ring. The current paper provides a unified and generalized
of the class of Ge-projective modules are contained in the following result; see Theorem 2.8. …

Codualizing modules

M Rahmani, AJ Taherizadeh - arXiv preprint arXiv:1611.08881, 2016 - arxiv.org
… of semidualizing and quasidualizing R-modules by S0(R) and Q0(R), respectively. In [12,
Theorem 3.1], … In this section, our aim is to generalize [12, Theorem 3.1], which says that if R is …

[PDF][PDF] Suitable chains of semidualizing modules

E Amanzadeh - math.ipm.ac.ir
… There, by using a graded version of the Noether Normalization Theorem, one obtains in this
… and study prime serial modules and almost serial modules as two generalizations of serial …