-projective dimensions, Foxby equivalence and -projective modules

L Zhao, Y Zhou - Journal of Algebra and Its Applications, 2016 - World Scientific
This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …

A generalization of a theorem of Foxby

T Araya, R Takahashi - Archiv der Mathematik, 2009 - Springer
A generalization of a theorem of Foxby Page 1 Arch. Math. 93 (2009), 123–127 c© 2009
Birkhäuser Verlag Basel/Switzerland 0003-889X/09/020123-5 published online August 6, 2009 …

Adic Foxby classes

SK Sather-Wagstaff, R Wicklein - Algebras and Representation Theory, 2021 - Springer
We continue our work on adic semidualizing complexes over a commutative noetherian ring
R by investigating the associated Auslander and Bass classes (collectively known as Foxby …

Gorenstein right derived functors of−⊗− with respect to semidualizing modules

J Hu, D Zhang, N Ding - Communications in Algebra, 2014 - Taylor & Francis
Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Characterizations of some rings with C-projective, C-(FP)-injective and C-flat modules

XG Yan, XS Zhu - Czechoslovak mathematical journal, 2011 - Springer
Let R be a commutative ring and C a semidualizing R-module. We investigate the relations
between C-flat modules and C-FP-injective modules and use these modules and their …

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
In their investigation of horizontal linkage of modules of finite Gorenstein dimension over a
commutative, Noetherian, semiperfect (eg, local) ring, Dibaei and Sadeghi introduced the …

正合零因子下模的GC-同调维数

郭寿桃, 王占平 - 吉林大学学报(理学版), 2018 - xuebao.jlu.edu.cn
正合零因子下模的GC-同调维数 Page 1 第56卷第6期 吉林大学学报(理学版) Vol.56 No.6 2018年
11月 JournalofJilinUniversity(ScienceEdition) Nov 2018 doi:10.13413/j.cnki.jdxblxb.2018.06.10 …

[HTML][HTML] Stability of Gorenstein modules with respect to a semidualizing module

Z WANG, S GUO - 数学杂志, 2017 - sxzz.whu.edu.cn
This paper mainly study the stability of Gorenstein modules with respect to a semidualizing
module C (ie, Gorenstein C-projective, Gorenstein C-injective and Gorenstein C-flat …

The balance of relative Ext groups defined by semidualizing modules

KA Beigi, K Divaani-Aazar, M Tousi - Journal of Algebra and Its …, 2023 - World Scientific
Let R be a commutative Noetherian ring with identity and C a semidualizing module for R.
Let 𝒫 C (R) and ℐ C (R) denote, respectively, the classes of C-projective and C-injective R …

强Gorenstein C-平坦模

李金兰, 梁春丽 - 山东大学学报(理学版), 2017 - lxbwk.njournal.sdu.edu.cn
作为强Gorenstein 平坦模的推广ꎬ 引入了相对于半对偶化模C 的强Gorenstein 平坦模ꎬ
即强GorensteinC-平坦模ꎬ 并给出了其若干性质和等价刻画ꎬ 比如强Gorenstein C …