[HTML][HTML] On the classification of higher Auslander algebras for Nakayama algebras
DO Madsen, R Marczinzik, G Zaimi - Journal of Algebra, 2020 - Elsevier
We give new improved bounds for the dominant dimension of Nakayama algebras and use
those bounds to give a classification of Nakayama algebras with n simple modules that are …
those bounds to give a classification of Nakayama algebras with n simple modules that are …
Gorenstein Projective Dimensions of Modules over Minimal Auslander–Gorenstein Algebras
S Li, R Marczinzik, S Zhang - Algebra Colloquium, 2021 - World Scientific
In this article we investigate the relations between the Gorenstein projective dimensions of Λ-
modules and their socles for n-minimal Auslander–Gorenstein algebras Λ. First we give a …
modules and their socles for n-minimal Auslander–Gorenstein algebras Λ. First we give a …
Nakayama-type phenomena in higher Auslander–Reiten theory
G Jasso, J Külshammer - Representations of Algebras, in …, 2018 - books.google.com
This paper surveys recent contructions in higher Auslander–Reiten theory. We focus on
those which, due to their combinatorial properties, can be regarded as higher dimensional …
those which, due to their combinatorial properties, can be regarded as higher dimensional …
On representation-finite gendo-symmetric algebras with only one non-injective projective module
T Aihara, A Chan, T Honma - Journal of Algebra, 2022 - Elsevier
Motivated by the relation between Schur algebra and the group algebra of a symmetric
group, along with other similar examples in algebraic Lie theory, Min Fang and Steffen …
group, along with other similar examples in algebraic Lie theory, Min Fang and Steffen …
Finitistic Dimensions of Artin Algebras with Two Simples and a Conjecture of Marczinzik
V Gélinas - Algebras and Representation Theory, 2022 - Springer
Let Λ be an Artin algebra with a unique non-injective indecomposable projective module. In
this situation, Marczinzik conjectured that the dominant dimension of Λ agrees with its …
this situation, Marczinzik conjectured that the dominant dimension of Λ agrees with its …