On stable modules that are not Gorenstein projective

R Marczinzik - arXiv preprint arXiv:1709.01132, 2017 - arxiv.org
In\cite {AB}, Auslander and Bridger introduced Gorenstein projective modules and only
about 40 years after their introduction a finite dimensional algebra $ A $ was found in\cite …

Gendo-symmetric algebras, dominant dimensions and Gorenstein homological algebra

R Marczinzik - arXiv preprint arXiv:1608.04212, 2016 - arxiv.org
We prove that a finite dimensional algebra $ A $ with representation-finite subcategory
consisting of modules that are semi-Gorenstein-projective and $ n $-th syzygy modules is …

Rigidity degrees of indecomposable modules over representation-finite self-injective algebras

W Hu, X Yin - Journal of Pure and Applied Algebra, 2024 - Elsevier
The rigidity degree of a generator-cogenerator determines the dominant dimension of its
endomorphism algebra, and is closely related to a recently introduced homological …

Finitistic Auslander algebras

R Marczinzik - arXiv preprint arXiv:1701.00972, 2017 - arxiv.org
Recently, Chen and Koenig in\cite {CheKoe} and Iyama and Solberg in\cite {IyaSol}
independently introduced and characterised algebras with dominant dimension coinciding …

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 …