Generic constructions and semidualizing modules

SK Sather-Wagstaff, T Se, S Spiroff - Algebras and Representation Theory, 2021 - Springer
Generic Constructions and Semidualizing Modules Page 1 Algebras and Representation Theory
(2021) 24:1071–1081 https://doi.org/10.1007/s10468-020-09979-5 Generic Constructions and …

GENERALIZATIONS OF ARTINIAN AND NOETHERIAN MODULES

NH HWEE - 1995 - scholarbank.nus.edu.sg
This thesis is a study of generalizations of the dual concepts of an artinian module and a
noetherian module, called a semiartinian module and a seminoetherian module …

Hearts of t-structures which are Grothendieck or module categories

CE Parra - arXiv preprint arXiv:1409.6639, 2014 - arxiv.org
This thesis deals with the general problem of determining when the heart $\mathcal {H} $ of
a t-structure in a triangulated category $\mathcal {D} $ is a Grothendieck or a module …

On τ-completely decomposable modules

S Crivei - Bulletin of the Australian Mathematical Society, 2004 - cambridge.org
For a hereditary torsion theory τ, a module A is called τ-completedly decomposable if it is a
direct sum of modules that are the τ-injective hull of each of their non-zero submodules. We …

Notes on linkage of modules with respect to a semidualizing module

TS Souza - Communications in Algebra, 2023 - Taylor & Francis
In this paper we further develop the theory of linkage with respect to a semidualizing module
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …

ON r-COMPLETELY DECOMPOSABLE MODULES

S CRIVEI - BULL. AUSTRAL. MATH. SOC - search.proquest.com
For a hereditary torsion theory τ, a module A is called τ-completedly decomposable if it is a
direct sum of modules that are the τ-injective hull of each of their non-zero submodules. We …

Tor-pairs: products and approximations

MC Izurdiaga - arXiv preprint arXiv:1907.07547, 2019 - arxiv.org
Recently the author has studied rings for which products of flat modules have finite flat
dimension. In this paper we extend the theory to characterize when products of modules in …

Mittag-Leffler functors of modules

C Sancho, F Sancho, P Sancho - arXiv preprint arXiv:1804.08182, 2018 - arxiv.org
arXiv:1804.08182v4 [math.AC] 13 Mar 2019 Page 1 arXiv:1804.08182v4 [math.AC] 13 Mar
2019 MITTAG-LEFFLER FUNCTORS OF MODULES CARLOS SANCHO, FERNANDO …

Adic semidualizing complexes

S Sather-Wagstaff, R Wicklein - arXiv preprint arXiv:1506.07052, 2015 - arxiv.org
We introduce and study a class of objects that encompasses Christensen and Foxby's
semidualizing modules and complexes and Kubik's quasi-dualizing modules: the class of …

The balance of relative Ext groups defined by semi dualizing modules

K Abolfath Beigi, K Divaani-Aazar, M Tousi - arXiv e-prints, 2022 - ui.adsabs.harvard.edu
Let $ R $ be a commutative Noetherian ring with identity and $ C $ a semidualizing module
for $ R $. Let $\mathscr {P} _C (R) $ and $\mathscr {I} _C (R) $ denote, respectively, the …