Finiteness conditions and relative derived categories

L Tan, D Wang, T Zhao - Journal of Algebra, 2021 - Elsevier
ring with identity and R-Mod is the category of left R-modules. … - Mod such that each P i is
finitely generated and projective. … the existence of (pre)covers and (pre)envelopes relative to a …

A new approach to flatness in categories of sheaves

D Bennis, S Mamdouhi - arXiv preprint arXiv:2404.01132, 2024 - arxiv.org
… Throughout this paper, all rings are commutative with identity, … a strongly Gorenstein flat
object in A, which has enough flat … and J x be the injective envelope of Kx for every x ∈ X. Then, …

The (almost) integral Chow ring of

M Pernice - Selecta Mathematica, 2024 - Springer
… 4, 5 and 6, we describe the remaining strata and compute their Chow rings using such … ,
which is a projective bundle and therefore an algebraic Chow envelope (we do not have to worry …

Model structures, n-Gorenstein flat modules and PGF dimensions

RE Maaouy - arXiv preprint arXiv:2302.12905, 2023 - arxiv.org
… We show (Theorem 4.2) that a ring R is left n-perfect if and only if every Gorenstein flat left
R-… Perfect if every module has an X-cover and a Y-envelope. • Cogenerated by a set if there is …

Flat ring epimorphisms and universal localizations of commutative rings

L Angeleri Hügel, F Marks, J Št'ovíček… - … Quarterly Journal of …, 2020 - academic.oup.com
… a ring epimorphism |$A\longrightarrow A_\Sigma$| satisfying |… , hence, all finitely generated
projective modules have a well-… intersection rings and, more generally, Gorenstein rings are …

Canonical supermultiplets and their Koszul duals

M Cederwall, S Jonsson, J Palmkvist… - … in Mathematical Physics, 2024 - Springer
finitely generated as an R-algebra, so that its Koszul dual will not be finite-dimensional; it will,
however, be of finite … For example, in both examples mentioned, S is a Gorenstein ring. We …

Direct limits of Gorenstein injective modules

A Iacob - arXiv preprint arXiv:2308.08699, 2023 - arxiv.org
ring such that the injective envelope of every simple left R-module is finitely generated, then
the character module of … Does every (left ) noetherian ring satisfy the condition that character …

Little finitistic dimensions and generalized derived categories

X Zhang, T Zhao, D Wang - arXiv preprint arXiv:2306.09140, 2023 - arxiv.org
… left Noetherian rings, especially left Artinian rings, have attracted … rings, since the syzygies
of finitely generated modules are … the (pre)cover and (pre)envelope properties of n-projective

Relative -Weak Cotorsion Modules

M Amini, H Amzil, D Bennis - Algebra Colloquium, 2024 - World Scientific
… characterizations of rings with finite n-super finitely presented … of projective R-modules, where
each Fi is finitely generated … Similarly, if every R-module has an F-(pre)envelope, then we …

Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
… of F W ( R ) -pre-envelopes, which we prove in Theorem 3.8 … commutative) ring with
identity, and all modules will be, unless … is equivalent to C being a finitely generated R-module. …