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.
出处
《纯粹数学与应用数学》
CSCD
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)
关键词
代数闭域
三维代数
路代数
algebraically closed field
3-dimensional algebra
path algebra
