Artin-Schelter regular algebras of dimension five with two generators

作者：Zhou, G. -S.^*; Lu, D. -M.

来源：Journal of Pure and Applied Algebra, 2014, 218(5): 937-961.

DOI：10.1016/j.jpaa.2013.10.011

• GRADED ALGEBRAS

We study and classify Artin-Schelter regular algebras of dimension five with two generators under an additional Z(2)-grading by Hilbert driven Grobner basis computations. All the algebras we obtained are strongly noetherian, Auslander regular, and Cohen-Macaulay. One of the results provides an answer to Floystad-Vatne's question in the context of Z(2)-grading. Our results also achieve a connection between Lyndon words and Artin-Schelter regular algebras.

• 出版日期2014-5
• 单位浙江大学