Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
A recent result by J. Šaroch and J. Šťovíček asserts that there is a unique abelian model
structure on the category of left R-modules, for any associative ring R with identity, whose …

Locally type and -coherent categories

D Bravo, J Gillespie, MA Pérez - arXiv preprint arXiv:1908.10987, 2019 - arxiv.org
We study finiteness conditions in Grothendieck categories by introducing the concepts of
objects of type $\text {FP} _n $ and studying their closure properties with respect to short …

Locally Type FP n and n-Coherent Categories

D Bravo, J Gillespie, MA Pérez - Applied Categorical Structures, 2023 - Springer
We study finiteness conditions in Grothendieck categories by introducing the concepts of
objects of type FP n and studying their closure properties with respect to short exact …

Generalized Gorenstein modules

A Iacob - Algebra Colloquium, 2022 - World Scientific
We introduce a generalization of the Gorenstein injective modules: the Gorenstein FP n-
injective modules (denoted by GI n). They are the cycles of the exact complexes of injective …

Relative global dimensions and stable homotopy categories

L Liang, J Wang - Comptes Rendus …, 2020 - comptes-rendus.academie-sciences …
In this paper we study the finiteness of global Gorenstein AC-homological dimensions for
rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an …

Gorenstein flat modules with respect to duality pairs

Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …

[图书][B] Gorenstein homological algebra

A Iacob - 2018 - taylorfrancis.com
Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …

n-余纯Gorenstein AC 模

高娜娜, 杨刚 - 《 山东大学学报(理学版)》, 2024 - lxbwk.njournal.sdu.edu.cn
n-余纯Gorenstein AC模 Page 1 山东大学学报(理学版)2024年6月第59卷第6期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University(Natural Science)ꎬ Vol.59ꎬ No.6ꎬ 2024 http:∥lxbwk.njournal.sdu.edu.cn …

线性箭图的Gorenstein AC-表示

孙情, 杨刚 - 《 山东大学学报(理学版)》, 2023 - lxbwk.njournal.sdu.edu.cn
Let Rep (Q, R) be the category of representations of R-modules over the linear quiver $
Q=(\bullet\rightarrow\bullet\rightarrow\cdots\rightarrow\bullet) $. It is mainly studied and …

完全AC 分解

侯婷婷, 杨晓燕 - 吉林大学学报(理学版), 2023 - xuebao.jlu.edu.cn
完全AC 分解 Page 1 第61卷第1期 吉林大学学报(理学版) Vol.61 No.1 2023年1月
JournalofJilinUniversity(ScienceEdition) Jan 2023 doi:10.13413/j.cnki.jdxblxb.2022020 完全 …