Double Ore extensions versus graded skew PBW extensions

DOI10.1080/00927872.2019.1635610zbMath1437.16043arXiv1810.06778OpenAlexW2963487242WikidataQ127550885 ScholiaQ127550885MaRDI QIDQ5216214

James Yair Gómez, Héctor Suárez

Publication date: 17 February 2020

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

Full work available at URL: https://arxiv.org/abs/1810.06778

zbMATH Keywords

Artin-Schelter regular algebrasskew Calabi-Yau algebrasdouble Ore extensionsgraded skew PBW extensions

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 (4)

On NI and NJ skew PBW extensions ⋮ \(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ Homogenized skew PBW extensions ⋮ Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas

Cites Work

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• \(\sigma \)-PBW extensions of skew Armendariz rings
• A class of AS-regular algebras of dimension five.
• Projective modules and Gröbner bases for skew PBW extensions
• Double Ore Extensions Versus Iterated Ore Extensions
• Koszulity for graded skew PBW extensions
• Non-commutative algebraic geometry of semi-graded rings
• Elementary Matrix-computational Proof of Quillen-Suslin Theorem for Ore Extensions
• Some Homological Properties of SkewPBWExtensions

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