代数闭域上三维非交换代数的分类  

The classifications of 3-dimensionally non-commutative algebras on algebraically closed field

作　　者：孙翠芳[1] 程智[1] 

机构地区：[1]安徽师范大学数学系,安徽芜湖241000

出　　处：《纯粹数学与应用数学》2010年第3期516-519,共4页Pure and Applied Mathematics

基　　金：安徽高校省级自然科学研究重点项目基金(KJ2008A026);校青年基金(2005xqn04;2007xqn52)

摘　　要：研究了代数闭域K上三维非交换代数的分类.在已有三维交换代数分类的基础上,获得了代数闭域K上三维非交换代数A的分类,共有十二种类型.并且给出了非交换代数对应的路代数以及它们之间的一些关系.In this paper,we discuss the classifications of 3-dimensionally non-commutative algebras on algebraically closed field.By using the results of the classifications of 3-dimensionally commutative algebras on algebraically closed field,we get twelve kinds of algebras,then we give the corresponding path algebras and point out some relations between the the 3-dimensionally non-commutative algebras and their path algebras respectively the Dynkin kind.

关 键 词：代数闭域 三维代数 路代数 

分 类 号：O152.6[理学—数学]