A class of AS-regular algebras of dimension five

作者：Wang S Q; Wu Q S^*

来源：Journal of Algebra, 2012, 362: 117-144.

DOI：10.1016/j.jalgebra.2012.04.012

• Artin-Schelter regular algebra
• Quantum projective space
• Ext-algebra
• A(infinity)-algebra

We classify 5-dimensional Artin-Schelter regular algebras generated by two generators of degree 1 with three generating relations of degree 4 under a generic condition. All the algebras obtained are proved to be strongly noetherian, Auslander regular and Cohen-Macaulay with respect to the Gelfand-Kirillov dimension.

• 出版日期2012-7-15
• 单位复旦大学