Coverings and truncations of graded self-injective algebras.

DOI10.1016/J.JALGEBRA.2012.01.009zbMath1281.16047arXiv1002.4910OpenAlexW2963480170WikidataQ123151323 ScholiaQ123151323MaRDI QIDQ713282

Jin-Yun Guo

Publication date: 26 October 2012

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

Full work available at URL: https://arxiv.org/abs/1002.4910

zbMATH Keywords

mutationstrivial extensionsNakayama translationsgraded self-injective algebrascubic algebrasslice algebras

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37) Derived categories and associative algebras (16E35)

Related Items (12)

On \(n\)-cubic pyramid algebras ⋮ McKay quivers and absolute \(n\)-complete algebras. ⋮ Returning arrows for self-injective algebras and Artin-Schelter regular algebras. ⋮ On connected components of skew group algebras ⋮ On the representation dimension of smash products ⋮ Yoneda algebras of almost Koszul algebras. ⋮ ℤ Q type constructions in higher representation theory ⋮ Some algebras that are not silting connected ⋮ \(n\)-APR tilting and \(\tau\)-mutations ⋮ On trivial extensions and higher preprojective algebras ⋮ On \(n\)-translation algebras ⋮ On \(n\)-slice algebras and related algebras

Cites Work

• Unnamed Item
• Unnamed Item
• A generalization of Gabriel's Galois covering functors and derived equivalences
• A noncommutative BGG correspondence
• Koszul differential graded algebras and BGG correspondence.
• Koszul algebras and finite Galois coverings.
• Graded self-injective algebras ``are trivial extensions.
• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Graded, selfinjective, and Koszul algebras
• Translation algebras and their applications.
• Riemann-Roch like theorem for triangulated categories
• Koszul equivalences and dualities.
• Morita Theory for Derived Categories
• Galois actions on rings and finite Galois coverings.
• Trivial Extensions of Tilted Algebras
• Tilted Algebras
• Auslander-Reiten Triangles in Derived Categories of Finite-Dimensional Algebras
• Galois coverings of selfinjective algebras by repetitive algebras
• Hereditary noetherian categories with a tilting complex
• Loewy matrix, koszul cone and applications
• Skew category, Galois covering and smash product of a 𝑘-category
• Automorphisms of repetitive algebras.

This page was built for publication: Coverings and truncations of graded self-injective algebras.