Self-injective algebras under derived equivalences

DOI10.1016/j.jpaa.2024.107795MaRDI QIDQ6671713

Jin Zhang, Changchang Xi

Publication date: 27 January 2025

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

zbMATH Keywords

Grothendieck groupderived equivalencesymmetric algebraNakayama permutationself-injective algebraweakly symmetric algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Representations of associative Artinian rings (16G10) Grothendieck groups (category-theoretic aspects) (18F30) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)

Cites Work

• Stable categories and reconstruction
• \(\mathcal D\)-split sequences and derived equivalences.
• Stable equivalence of self-injective algebras
• Representation theory. A homological algebra point of view.
• On the connection between the ordinary and the modular characters of groups of finite order
• Silting and tilting for weakly symmetric algebras
• Derived equivalences and stable equivalences of Morita type, I
• Morita Theory for Derived Categories
• Deriving DG categories
• TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
• Derived Equivalences As Derived Functors
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