大半环子半环的和与积  

Sum and Product of Subsemi-Rings of Big Semi-Ring

作　　者：杨宗文[1] 杨柱元[2] 李友宝[3] 

机构地区：[1]云南大学数学系,云南昆明650091 [2]云南民族大学数学与计算机科学学院,云南昆明650031 [3]云南大学数学与统计学院,云南昆明650091

出　　处：《昆明理工大学学报（理工版）》2007年第6期113-118,共6页Journal of Kunming University of Science and Technology(Natural Science Edition)

基　　金：国家民委基金项目资助(项目编号:05YN06);云南省教育厅基金项目资助(项目编号:07Z10533)

摘　　要：定义了一类特殊的半环——大半环,讨论了大半环由子集生成的子半环、子半环的和与积的结构,子半环的积对和的分配关系,证明了大半环类是完备代数类及可积代数类,从而是完备代数正规类及可积代数正规类.One kind of special semi -rings big semi -ring is defined. Elaborated discussion is then made on the structures of the subsemi - tings generated by a subset of a big semi - ring, the structures of sum and product of subsemi - rings, and the distribution product over the sum of subsemi - rings. It is thereafter shown that the class of big semi - rings is a normal class of integrable algebras, and therefore a normal class of complete algebras.

关 键 词：半环 代数正规类 

分 类 号：O153.3[理学—数学]