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Regular algebras of dimension 4 with 3 generators

2011/01/11 by D. Rogalski, J. J. Zhang, Rogalski, D. +1
Mathematics · #16-04 #16W50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Primary 16S38 #Rings and Algebras (math.RA) #Secondary 16P40

paper · pdf · doi:10.48550/arxiv.1101.1998

openalex publication_date 2011/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Artin-Schelter regular algebras of global dimension 4 with three generators of degree one. We classify those which are domains and which have an additional Z x Z-grading, and prove that all of these examples are also strongly noetherian, Auslander regular, and Cohen-Macaulay.

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