Double Extension Regular Algebras of Type (14641)

2007/12/16 by James J. Zhang, Jun Zhang, Zhang, James J. +1 · 2 citations
Mathematics · #14A22 #16A62 #16E70 #16W50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0712.2550

openalex publication_date 2007/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct several families of Artin-Schelter regular algebras of global dimension four using double Ore extension and then prove that all these algebras are strongly noetherian, Auslander regular, Koszul and Cohen-Macaulay domains. Many regular algebras constructed in the paper are new and are not isomorphic to either a normal extension or an Ore extension of an Artin-Schelter regular algebra of global dimension three.

Citations

• Theory of Non-Commutative Polynomials

Cited by

• Nakayama automorphisms of graded double Ore extensions of Koszul Artin-Schelter regular algebras with nontrivial skew derivations
• On differential smoothness of certain Artin-Schelter regular algebras of dimension 5

Related

• Double Ore Extensions
• Regular algebras of dimension 4 and their A-infinity Ext-algebras
• Regular algebras of dimension 4 with 3 generators
• Double Ore Extensions versus Iterated Ore Extensions
• Artin-Schelter regular algebras of dimension five with two generators