Artin-Schelter twisted tensor regularity of products  

作　　者：Xin WANG Yuan SHEN 

机构地区：[1]School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China [2]Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China

出　　处：《Frontiers of Mathematics in China》2018年第5期1141-1167,共27页中国高等学校学术文摘·数学（英文）

摘　　要：We prove an Artin-Schelter regularity result for the method of twisted tensor products under a certain form. Such twisted tensor products, whose twisting maps are determined by the action on the generators, include Ore extensions and double Ore extensions. It is helpful to construct high- dimensional Artin-Schelter regular algebras.We prove an Artin-Schelter regularity result for the method of twisted tensor products under a certain form. Such twisted tensor products, whose twisting maps are determined by the action on the generators, include Ore extensions and double Ore extensions. It is helpful to construct high- dimensional Artin-Schelter regular algebras.

关 键 词：Artin-Schelter regular （AS-regular algebra） algebra twisted tensor product pure resolution with respect to length 

分 类 号：O437[机械工程—光学工程] Q463[理学—光学]