FPn-injective and FPn-flat modules with respect to a semidualizing bimodule

W Wu, Z Gao - Communications in Algebra, 2022 - Taylor & Francis
… Since then, the research on this aspect has also been studied by … homological algebra
associated to the notions of FP n -injective and FP n -flat modules with respect to a semidualizing

Gorenstein homological modules and Auslander categories with respect to a semidualizing module.

D Jun, WEI Jie - Acta Scientiarum Naturalium Universitatis …, 2023 - search.ebscohost.com
… examples of semidualizing modules include the rank 1 free module and a dualizing module,
Homological aspects of semidualizing modules[J]. Math Scand,106(1):5-22. WHITE D,2010. …

Pseudo-dualizing complexes and pseudo-derived categories

L Positselski - Rendiconti del Seminario Matematico della Università …, 2020 - ems.press
… , such as “semi-dualizing complexes”. What the authors call “… [26] and [52, Example 6.6])
is what makes many aspects of … L on the homology modules. The cone R of the morphism of …

Relative grade and relative Gorenstein dimension with respect to a semidualizing module

M Salimi, E Tavasoli - Proceedings-Mathematical Sciences, 2023 - Springer
… The notion of a “semidualizing module” is a central notion in relative homological algebra. …
] and Golod [8], its various aspects has been investigated by many authors from different stand …

[PDF][PDF] RESULTS ON AMALGAMATION ALONG A SEMIDUALIZING IDEAL

M Salek, E Tavasoli, A Tehranian, M Salimi - Matematicki Vesnik, 2021 - vesnik.math.rs
… In [11], the authors showed that how a semidualizing module C gives rise to three new relative
homological … Also, we give some homological properties of (R ⊳⊲ I)-modules, where I is a …

Relative torsionfree modules with respect to a faithfully balanced bimodule

Z Zhang - Communications in Algebra, 2021 - Taylor & Francis
… , we characterize the Auslander class with respect to a semidualizing module by virtue of …
Relative homological algebra with respect to a semidualizing module has caught many authors…

An Introduction to Homological Algebra and its Applications

TA Morra - 2018 - search.proquest.com
… , so on the left-hand side we have a local ring modulo the unique maximal ideal, which must
be a field. On the right-hand side, we have the field of fractions on the integral domain R/p. …

On reduced G-perfection and horizontal linkage relative to a semidualizing module

CB Miranda-Neto, TS Souza - arXiv preprint arXiv:2201.00847, 2022 - arxiv.org
… It is worth mentioning that the notion of semidualizing module has become a central object …
By a finite Rmodule we mean a finitely generated R-module. For general homological algebra…

On flat and Gorenstein flat dimensions of local cohomology modules

MR Zargar, H Zakeri - Canadian Mathematical Bulletin, 2016 - cambridge.org
homological algebra… semidualizing modules goes back at least to Vasconcelos [ ], but was
rediscovered by others. e reader is referred to [ ] for more details about semidualizing modules

Dual of Bass numbers and dualizing modules

M Rahmani, A Taherizadeh - Communications in Algebra, 2017 - Taylor & Francis
… A finitely generated R-module C is semidualizing if the natural homothety map R→Hom R
(C… He used these notions to define a new homological dimension for complexes, namely, G C -…