纺织高校基础科学学报2016，Vol.29Issue(4)：424-427,4.DOI:10.13338/j.issn.1006-8341.2016.04.002
含幺元的二维交换结合代数的分类
The classification of 2-dimensional commutative associative algebras containing identity over the field of real numbers
摘要
Abstract
In order to describe the structure of 2-dimensional commutative algebras over the field of real numbers,the classification of 2-dimensional commutative associative algebras containing identity over the field of real numbers are studied,and it is proved that there are exactly three 2-dimensional real commutative algebras up to isomorphisms,there exist bases {e,u }such that e is unitary,either u2 =u or u2 =0 and the last case is nothing but the field of real numbers.关键词
幺元/二维交换结合代数/同构Key words
identity/2-dimensional commutative associative algebras/isomorphism分类
数理科学引用本文复制引用
李长洲,李海洋..含幺元的二维交换结合代数的分类[J].纺织高校基础科学学报,2016,29(4):424-427,4.基金项目
陕西省自然科学基金资助项目(2015JM1012) （2015JM1012）
西安工程大学研究生创新基金资助项目(CX201625) （CX201625）
