Minimal free resolutions of fiber products
H Geller - Proceedings of the American Mathematical Society, 2022 - ams.org
We consider a local (or standard graded) ring $ R $ with ideals $\mathcal {I}'$, $\mathcal {I}
$, $\mathcal {J}'$, and $\mathcal {J} $ satisfying certain Tor-vanishing constraints. We …
$, $\mathcal {J}'$, and $\mathcal {J} $ satisfying certain Tor-vanishing constraints. We …
Naïve liftings of DG modules
S Nasseh, M Ono, Y Yoshino - Mathematische Zeitschrift, 2022 - Springer
Let n be a positive integer, and let A be a strongly commutative differential graded (DG)
algebra over a commutative ring R. Assume that B= A [X 1,…, X n] is a polynomial extension …
algebra over a commutative ring R. Assume that B= A [X 1,…, X n] is a polynomial extension …
Some aspects of local cohomology theory
RF Holanda - 2022 - repositorio.ufpb.br
This work is about some features of local cohomology theory. We develop a new tool called
Mayer-Vietoris spectral sequence that allows us to study several local cohomology modules …
Mayer-Vietoris spectral sequence that allows us to study several local cohomology modules …
Auslander-Reiten and Huneke-Wiegand conjectures over quasi-fiber product rings
TH Freitas, VH PÉrez, R Wiegand… - arXiv preprint arXiv …, 2022 - arxiv.org
In this paper we explore consequences of the vanishing of ${\rm Ext} $ for finitely generated
modules over a quasi-fiber product ring $ R $; that is, $ R $ is a local ring such that …
modules over a quasi-fiber product ring $ R $; that is, $ R $ is a local ring such that …