Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras

DOI10.1090/tran/6640zbMath1430.18011arXiv1408.0536OpenAlexW1952826133MaRDI QIDQ2826761

Daniel Rogalski, James J. Zhang, Manuel L. Reyes

Publication date: 18 October 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0536

zbMATH Keywords

triangulated categoryFrobenius algebraskew Calabi-Yauhomological determinanttwisted Calabi-YauAS regular algebra

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Quasi-Frobenius rings (16L60) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)

Related Items (15)

Cluster tilting modules and noncommutative projective schemes ⋮ Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities ⋮ Nakayama automorphisms of PBW deformations and Hopf actions. ⋮ The Nakayama automorphism of a class of graded algebras ⋮ Nakayama automorphisms of twisted tensor products ⋮ On quantum groups associated to non-Noetherian regular algebras of dimension 2 ⋮ GRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULAR ⋮ Nakayama automorphisms of graded Ore extensions of Koszul Artin-Schelter regular algebras ⋮ Higher zigzag algebras ⋮ Nakayama automorphism and applications ⋮ \(m\)-Koszul Artin-Schelter regular algebras ⋮ Yoneda Ext-algebras of Takeuchi smash products ⋮ Nakayama automorphism and rigidity of dual reflection group coactions ⋮ Smash products of Calabi-Yau algebras by Hopf algebras ⋮ New Artin-Schelter regular and Calabi-Yau algebras via normal extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Skew Calabi-Yau algebras and homological identities.
• Hopf actions and Nakayama automorphisms.
• On Frobenius algebras
• Koszul equivalences in \(A_\infty\)-algebras.
• Graded algebras of global dimension 3
• Rings with Auslander dualizing complexes
• Noncommutative projective schemes
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Gorensteinness of invariant subrings of quantum algebras
• Hopf algebra actions on differential graded algebras and applications.
• Graded Calabi Yau algebras of dimension 3.
• Koszul and Gorenstein properties for homogeneous algebras.
• Gorenstein subrings of invariants under Hopf algebra actions.
• Noetherian hereditary abelian categories satisfying Serre duality
• Rouquier's Cocovering Theorem and Well-generated Triangulated Categories
• REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
• Twisted Graded Algebras and Equivalences of Graded Categories

This page was built for publication: Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras