TRIVIAL MAXIMAL 1-ORTHOGONAL SUBCATEGORIES FOR AUSLANDER 1-GORENSTEIN ALGEBRAS
DOI10.1017/S1446788712000420zbMath1281.16021arXiv0903.0762MaRDI QIDQ2852276
Xiaojin Zhang, Zhao Yong Huang
Publication date: 8 October 2013
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.0762
projective dimensionglobal dimensionindecomposable modulesinjective dimensiontilted algebrasAuslander 1-Gorenstein algebrastrivial maximal 1-orthogonal subcategories
Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)
Related Items (3)
Cites Work
- Unnamed Item
- Higher Auslander algebras admitting trivial maximal orthogonal subcategories.
- Cluster tilting for higher Auslander algebras.
- A characterization of finite Auslander-Reiten quivers
- Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
- Auslander correspondence.
- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- Tilting modules of finite projective dimension
- Algebren, Darstellungsköcher, Überlagerungen und zurück
- Covering spaces in representation-theory
- \(k\)-Gorenstein algebras and syzygy modules
- Applications of contravariantly finite subcategories
- On Auslander's \(n\)-Gorenstein rings
- Syzygy modules for Noetherian rings
- The existence of maximal \(n\)-orthogonal subcategories.
- Rigid modules over preprojective algebras.
- Maximal 𝑛-orthogonal modules for selfinjective algebras
- Representation theory of artin algebras iii almost split sequences
- Tilting in abelian categories and quasitilted algebras
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