Nakayama automorphisms of double Ore extensions of Koszul regular algebras

作者：Zhu, Can^*; Van Oystaeyen, Fred; Zhang, Yinhuo

来源：Manuscripta Mathematica, 2017, 152(3-4): 555-584.

DOI：10.1007/s00229-016-0865-8

• CALABI-YAU PROPERTY
• DUALIZING COMPLEXES
• HOPF-ALGEBRAS

Let A be a Koszul Artin-Schelter regular algebra and an algebra homomorphism from A to . We compute the Nakayama automorphisms of a trimmed double Ore extension [introduced in Zhang and Zhang (J Pure Appl Algebra 212:2668-2690, 2008)]. Using a similar method, we also obtain the Nakayama automorphism of a skew polynomial extension , where is a graded algebra automorphism of A. These lead to a characterization of the Calabi-Yau property of , the skew Laurent extension and with a diagonal type.

• 出版日期2017-3
• 单位上海理工大学