On the vanishing of self extensions over algebras
A Mahin Fallah - Archiv der Mathematik, 2020 - Springer
… of self extensions of finitely generated modules over commutative Noetherian rings. The aim
of … [5] proved that M is Gorenstein projective if and only if the G-dimension of M is zero (see …
of … [5] proved that M is Gorenstein projective if and only if the G-dimension of M is zero (see …
[HTML][HTML] Homological invariants of pauli stabilizer codes
… on a lattice described by a finitely generated abelian group \(\… are reviewed in appendices:
Gorenstein rings in Appendix A, … , let \(\textrm{E}_A(M)\) be the injective envelope of M. We …
Gorenstein rings in Appendix A, … , let \(\textrm{E}_A(M)\) be the injective envelope of M. We …
Philosophy of contraherent cosheaves
L Positselski - arXiv preprint arXiv:2311.14179, 2023 - arxiv.org
… a commutative ring with a fixed finitely generated ideal is again a derived complete module.
… which must be an R-module map satisfying the usual coassociativity and counitality axioms. …
… which must be an R-module map satisfying the usual coassociativity and counitality axioms. …
[PDF][PDF] Cotorsion theory and its application to ring structures-a book chapter
F Wang, H Kim - researchgate.net
… relative homology theory, and Gorenstein homology theory is only a … and L represent the
class of finitely generated modules. … 3.33 points out that each module has an injective envelope. …
class of finitely generated modules. … 3.33 points out that each module has an injective envelope. …
[图书][B] Definable subcategories of maximal Cohen-Macaulay modules
I Bird - 2020 - search.proquest.com
… finitely generated modules which coincides with the class of … module of R, then R Ω is a
Gorenstein ring and we have a … to give the precise structure of a module’s injective envelope. …
Gorenstein ring and we have a … to give the precise structure of a module’s injective envelope. …
Quillen equivalences inducing Grothendieck duality for unbounded chain complexes of sheaves
S Estrada, J Gillespie - arXiv preprint arXiv:2104.10783, 2021 - arxiv.org
… the impetus for all of this. We recall that, for modules over a ring R, a cotorsion module C is
… Let B ֒→ RB be a Gorenstein injective approximation (special pre-envelope) of the sheaf B. …
… Let B ֒→ RB be a Gorenstein injective approximation (special pre-envelope) of the sheaf B. …
String algebras over local rings: admissibility and biseriality
R Bennett-Tennenhaus - arXiv preprint arXiv:2305.12885, 2023 - arxiv.org
… Gorenstein algebras appear also in more recent work of … Since finitely generated uniserial
modules are always cyclic, … the injective envelope k → a. This means that CR(V ) is noetherian …
modules are always cyclic, … the injective envelope k → a. This means that CR(V ) is noetherian …
Reflective and coreflective subcategories
… notions of X -preenvelope, X -reflection and X -envelope in a dual fashion. … ring R with a
dualizing module, the class M C M ( R ) of finitely generated maximal Cohen-Macaulay modules …
dualizing module, the class M C M ( R ) of finitely generated maximal Cohen-Macaulay modules …
A geometrization of Stanley–Reisner theory
FS de Salas, AT Sancho - Journal of Pure and Applied Algebra, 2024 - Elsevier
… stronger than ours and does not satisfy the above result. Hence, … Regarding the canonical
complex of a Stanley–Reisner ring … F is finitely generated if F p is a finitely generated k-module …
complex of a Stanley–Reisner ring … F is finitely generated if F p is a finitely generated k-module …
Generalized periodicity theorems
L Positselski - arXiv preprint arXiv:2301.00708, 2023 - arxiv.org
… ring R to be right coherent and taking S to be the class of all … These conditions are satisfied
automatically for any cotorsion … from any finitely generated object T ∈ K is finitely generated. …
automatically for any cotorsion … from any finitely generated object T ∈ K is finitely generated. …