On properly stratified Gorenstein algebras

DOI10.1016/j.jpaa.2021.106757zbMath1490.16023arXiv2101.11899OpenAlexW3164051545MaRDI QIDQ2040506

René Marczinzik, Tiago Cruz

Publication date: 14 July 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11899

zbMATH Keywords

tilting modulesdominant dimensionGorenstein algebrasproperly stratified algebrasminimal Auslander-Gorenstein algebras

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items

Centralizer matrix algebras and symmetric polynomials of partitions, Semi-Infinite Highest Weight Categories

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• QPA

Cites Work

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• Endomorphism algebras of generators over symmetric algebras.
• Frobenius algebras. I: Basic representation theory.
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• On a theorem of V. Dlab
• The Ringel dual of the Auslander-Dlab-Ringel algebra
• On minimal Auslander-Gorenstein algebras and standardly stratified algebras
• Recollements of self-injective algebras, and classification of self-injective diagram algebras
• Auslander-Gorenstein algebras and precluster tilting
• Properly stratified endomorphism algebras.
• Applications of contravariantly finite subcategories
• Finitistic dimension of properly stratified algebras.
• Standardly stratified algebras and tilting
• Modules of finite projective dimension and cocovers
• MODULES OF FINITE PROJECTIVE DIMENSION FOR STANDARDLY STRATIFIED ALGEBRAS
• Gendo-symmetric algebras, canonical comultiplication, bar cocomplex and dominant dimension
• Derived equivalences and stable equivalences of Morita type, I
• Schur functors and dominant dimension
• On the Relation Between Finitistic and Good Filtration Dimensions
• PROPERLY STRATIFIED ALGEBRAS AND TILTING
• Homological Theory of Idempotent Ideals
• Standardly stratified algebras and cellular algebras
• Stratifying endomorphism algebras