The homogenization of the three dimensional skew polynomial algebras of type I

DOI10.1080/00927879908826775zbMath0942.16030OpenAlexW2279911006MaRDI QIDQ4700491

Irmgard T. Redman

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826775

zbMATH Keywords

skew polynomial ringsgraded algebrassimple modulesgraded modulesArtin-Schelter regular algebrasline modulespoint varieties

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Graded rings and modules (associative rings and algebras) (16W50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (3)

On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras ⋮ On weak annihilators and nilpotent associated primes of skew PBW extensions ⋮ Homogenized skew PBW extensions

Cites Work

• Irreducible representations of the \(4\)-dimensional Sklyanin algebra at points of infinite order
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• The diamond lemma for ring theory
• Central extensions of three dimensional Artin-Schelter regular algebras
• On completions of non-commutative noetherian rings
• Some properties of non-commutative regular graded rings
• Homogenized sl(2)

This page was built for publication: The homogenization of the three dimensional skew polynomial algebras of type I