The Yoneda Algebra of a Graded Ore Extension

DOI10.1080/00927872.2010.539584zbMath1241.16007arXiv1002.2318OpenAlexW3099105617MaRDI QIDQ5389018

Christopher Phan

Publication date: 24 April 2012

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

Full work available at URL: https://arxiv.org/abs/1002.2318

zbMATH Keywords

Ore extensionsYoneda algebras\(\mathcal K_2\)-algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (9)

Nakayama automorphisms of graded Ore extensions of Koszul Artin-Schelter regular algebras ⋮ Universal enveloping algebras of Poisson Ore extensions ⋮ Homogenized skew PBW extensions ⋮ Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras. ⋮ Nakayama automorphisms of double Ore extensions of Koszul regular algebras ⋮ Ext-algebras of graded skew extensions ⋮ Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras ⋮ Koszulity for graded skew PBW extensions ⋮ Constructing G-algebras

Cites Work

• Generalizing the notion of Koszul algebra.
• Generalized Koszul properties for augmented algebras.
• Homological dimension of Ore extensions
• The Yoneda Algebra of a 𝒦₂Algebra Need not be Another 𝒦₂Algebra
• PBW-deformation theory and regular central extensions
• Koszulity for nonquadratic algebras.
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