Generalized Reynolds ideals for non-symmetric algebras.

DOI10.1016/j.jalgebra.2007.02.028zbMath1119.16001arXivmath/0603189OpenAlexW2034778806MaRDI QIDQ2370259

Christine Bessenrodt, Alexander Zimmermann, Thorsten Holm

Publication date: 22 June 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603189

zbMATH Keywords

derived categoriesderived equivalencessymmetric algebrastrivial extensionsgeneralized Reynolds ideals

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Ideals in associative algebras (16D25) Extensions of associative rings by ideals (16S70)

Related Items

Külshammer ideals of algebras of quaternion type, Fine Hochschild invariants of derived categories for symmetric algebras, Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture., Deformed preprojective algebras of type \(L\): Külshammer spaces and derived equivalences., Stable equivalences of Morita type do not preserve tensor products and trivial extensions of algebras, Unnamed Item, Transfer maps in Hochschild (co)homology and applications to stable and derived invariants and to the Auslander–Reiten conjecture, Külshammer ideals of graded categories and Hochschild cohomology, Generalized Reynolds ideals and derived equivalences for algebras of dihedral and semidihedral type., Hochschild Homology Invariants of Külshammer Type of Derived Categories

Cites Work

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• Derived categories and stable equivalence
• Cartan invariants and central ideals of group algebras.
• Nilpotente Elemente in Ringen von endlicher globaler Dimension
• Central ideals and Cartan invariants of symmetric algebras.
• Invariance of Generalised Reynolds Ideals Under Derived Equivalences