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arXiv · 1308.3816

Regularity criterion and classification for algebras of Jordan type

Y. Shen·G. -S. Zhou·D. -M. Lu
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Abstract

We show that Artin-Schelter regularity of a $\mathbb{Z}$-graded algebra can be examined by its associated $\mathbb{Z}^r$-graded algebra. We prove that there is exactly one class of four-dimensional Artin-Schelter regular algebras with two generators of degree one in the Jordan case. This class is strongly noetherian, Auslander regular, and Cohen-Macaulay. Their automorphisms and point modules are described.

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Y. Shen, G. -S. Zhou, D. -M. Lu. 2013-08-18. Regularity criterion and classification for algebras of Jordan type. https://arxiv.org/abs/1308.3816

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