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 …
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, …
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 …
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 …
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 …
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 …
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 …
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 …
of finitely generated modules are … the (pre)cover and (pre)envelope properties of n-projective …
Relative -Weak Cotorsion Modules
… 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 …
each Fi is finitely generated … Similarly, if every R-module has an F-(pre)envelope, then we …
Relative Gorenstein flat modules and dimension
… 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. …
identity, and all modules will be, unless … is equivalent to C being a finitely generated R-module. …