Ring constructions and generation of the unbounded derived module category
C Cummings - Algebras and Representation Theory, 2023 - Springer
We consider the smallest triangulated subcategory of the unbounded derived module
category of a ring that contains the injective modules and is closed under set indexed …
category of a ring that contains the injective modules and is closed under set indexed …
The finitistic dimension of an Artin algebra with radical square zero
V Gélinas - Proceedings of the American Mathematical Society, 2021 - ams.org
We investigate the inequality $\operatorname {Findim}\Lambda^{op}\leq\operatorname
{dell}\Lambda $ between the finitistic dimension and the delooping level of an Artin algebra …
{dell}\Lambda $ between the finitistic dimension and the delooping level of an Artin algebra …
A method for constructing minimal projective resolutions over idempotent subrings
C Klapproth - Proceedings of the American Mathematical Society, 2023 - ams.org
We show how to obtain minimal projective resolutions of finitely generated modules over an
idempotent subring $\Gamma _e≔(1-e) R (1-e) $ of a semiperfect noetherian basic ring $ R …
idempotent subring $\Gamma _e≔(1-e) R (1-e) $ of a semiperfect noetherian basic ring $ R …
Higher gentle algebras
J McMahon - arXiv preprint arXiv:1903.07125, 2019 - arxiv.org
We introduce higher gentle algebras. Our definition allows us to determine the singularity
categories and subsequently show that higher gentle algebras are Iwanaga-Gorenstein …
categories and subsequently show that higher gentle algebras are Iwanaga-Gorenstein …
Idempotent ideals and higher Auslander-Reiten theory/vorgelegt von Jordan McMahon
J McMahon - unipub.uni-graz.at
Abstract Die Theorie der Clusteralgebren ist ein bemerkenswertes Gebiet der Mathematik,
das Symmetrien aus unterschiedlichen Bereichen der Mathematik erfasst. Der einfachste …
das Symmetrien aus unterschiedlichen Bereichen der Mathematik erfasst. Der einfachste …