PBW-deformations of graded rings

DOI10.1007/s11856-022-2325-3OpenAlexW2761418321MaRDI QIDQ2164438

Paolo Saracco, Alessandro Ardizzoni, Dragoş Ştefan

Publication date: 15 August 2022

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04444

Mathematics Subject Classification ID

Deformations of associative rings (16S80) Graded rings and modules (associative rings and algebras) (16W50) Bimodules in associative algebras (16D20) Centralizing and normalizing extensions (16S20)

Cites Work

• On a definition of multi-Koszul algebras.
• Poincaré-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras
• Koszul pairs and applications
• Graded and filtered rings and modules
• Homological dimension and syzygies
• Higher symplectic reflection algebras and non-homogeneous \(N\)-Koszul property.
• Koszul incidence algebras, affine semigroups, and Stanley-Reisner ideals.
• Nonhomogeneous quadratic duality and curvature
• Noncommutative Gröbner bases and filtered-graded transfer.
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• PBW deformations of Koszul algebras over a nonsemisimple ring.
• Projective modules and Gröbner bases for skew PBW extensions
• Koszul Duality Patterns in Representation Theory
• PBW-deformation theory and regular central extensions
• Koszulity for nonquadratic algebras.
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