吉林大学学报（理学版）2016，Vol.54Issue(2)：207-214,8.DOI:10.13413/j.cnki.jdxblxb.2016.02.10
DFI 代数的距离函数及其性质
Distance Function of DFI-Algebras and Its Properties
摘要
Abstract
In order to further study DFI-algebra,firstly,the definition of a distance function in DFI-algebra was given.Its properties were discussed,and some special properties of the distance function of some kinds of special DFI-algebras,for example,linear DFI-algebras were given.Secondly,a new operation was introduced in DFI-algebra,and the equivalent definition of the distance function of DFI-algebras and some farther properties were given;finally,the corresponding metric space based on the distance function was introduced.关键词
FI代数/正则FI代数/DFI代数/距离函数Key words
FI-algebra/regular FI-algebra/DFI-algebra/distance function分类
数理科学引用本文复制引用
刘慧敏,吴洪博..DFI 代数的距离函数及其性质[J].吉林大学学报（理学版）,2016,54(2):207-214,8.基金项目
国家自然科学基金(批准号:11171196)和中国高校基本科研业务费专项基金(批准号:GK201501001) （批准号:11171196）
