Regular algebras of dimension 4 with 3 generators
D. Rogalski, J. J. Zhang
TL;DR
This paper classifies certain Artin-Schelter regular algebras of dimension 4 with three generators, showing they are strongly noetherian, Auslander regular, and Cohen-Macaulay, under specific conditions.
Contribution
It provides a classification of dimension 4 regular algebras with three generators that are domains and possess a Z x Z-grading, establishing their key properties.
Findings
All classified algebras are strongly noetherian.
They are Auslander regular.
They are Cohen-Macaulay.
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications