Koszulity for graded skew PBW extensions

DOI10.1080/00927872.2016.1272694zbMath1379.16020arXiv1610.04275OpenAlexW2963968118MaRDI QIDQ4977708

Héctor Suárez

Publication date: 16 August 2017

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

Full work available at URL: https://arxiv.org/abs/1610.04275

zbMATH Keywords

Koszul algebraskew PBW extensiongraded skew PBW extension

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Commutative rings of differential operators and their modules (13N10) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (11)

On NI and NJ skew PBW extensions ⋮ Unnamed Item ⋮ \(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ Homogenized skew PBW extensions ⋮ Associated prime ideals over skew PBW extensions ⋮ Skew Poincaré–Birkhoff–Witt extensions over weak compatible rings ⋮ Skew Poincaré-Birkhoff-Witt extensions over weak zip rings ⋮ Armendariz modules over skew PBW extensions ⋮ Double Ore extensions versus graded skew PBW extensions ⋮ Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas ⋮ Unnamed Item

Cites Work

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• Extended modules and Ore extensions
• Derivations of skew PBW-extensions.
• Generalizing the notion of Koszul algebra.
• Double Ore extensions.
• Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras.
• Uniform Dimension over Skew PBW Extensions
• A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions
• Projective modules and Gröbner bases for skew PBW extensions
• Cohen-Macaulay Complexes and Koszul Rings
• Koszul Duality Patterns in Representation Theory
• Automorphisms for SkewPBWExtensions and Skew Quantum Polynomial Rings
• KOSZULITY FOR SKEW PBW EXTENSIONS OVER FIELDS
• The Yoneda Algebra of a Graded Ore Extension
• A generalized Koszul theory and its application
• Some Homological Properties of SkewPBWExtensions
• Koszulity for nonquadratic algebras.

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