\(m\)-Koszul Artin-Schelter regular algebras

DOI10.1016/J.JALGEBRA.2015.09.016zbMath1378.16018arXiv1502.06015OpenAlexW2963582169MaRDI QIDQ891664

S. Paul. Smith, Izuru Mori

Publication date: 17 November 2015

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

Full work available at URL: https://arxiv.org/abs/1502.06015

zbMATH Keywords

Nakayama automorphismshomological identitiesCalabi-Yau algebrasAS-regular algebras\(m\)-Koszul algebras

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) Quadratic and Koszul algebras (16S37)

Related Items (13)

The Calabi-Yau property of Ore extensions of two-dimensional Artin-Schelter regular algebras and their PBW deformations ⋮ AS-REGULARITY OF GEOMETRIC ALGEBRAS OF PLANE CUBIC CURVES ⋮ Corrigendum to: ``\(m\)-Koszul Artin-Schelter regular algebras ⋮ Classification of noncommutative conics associated to symmetric regular superpotentials ⋮ Four-vertex quivers supporting twisted graded Calabi-Yau algebras ⋮ Superpotentials and quiver algebras for semisimple Hopf actions ⋮ Noncommutative cyclic isolated singularities ⋮ The classification of 3-dimensional Noetherian cubic Calabi-Yau algebras ⋮ Quivers supporting twisted Calabi-Yau algebras ⋮ Smash products of Calabi-Yau algebras by Hopf algebras ⋮ Higher preprojective algebras, Koszul algebras, and superpotentials ⋮ New Artin-Schelter regular and Calabi-Yau algebras via normal extensions ⋮ A Complete Classification of 3-dimensional Quadratic AS-regular Algebras of Type EC

Cites Work

• Unnamed Item
• Unnamed Item
• Skew Calabi-Yau algebras and homological identities.
• Skew group algebras of Calabi-Yau algebras.
• Superpotentials and higher order derivations.
• Graded algebras of global dimension 3
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Gourmet's guide to Gorensteinness
• The classification of 3-Calabi-Yau algebras with 3 generators and 3 quadratic relations
• Multilinear forms and graded algebras
• Koszul and Gorenstein properties for homogeneous algebras.
• Higher Koszul algebras and \(A\)-infinity algebras.
• Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras
• Nakayama automorphism and applications
• Growth of graded noetherian rings
• Non-noetherian regular rings of dimension 2
• Koszulity for nonquadratic algebras.

This page was built for publication: \(m\)-Koszul Artin-Schelter regular algebras