f-Algebra in Quotient Space  

作　　者：冯颖 

机构地区：[1]School of Mathematics,Southwest Jiaotong University [2]School of Information Science and Technology,Southwest Jiaotong University

出　　处：《Journal of Southwest Jiaotong University(English Edition)》2009年第3期271-274,共4页西南交通大学学报（英文版）

基　　金：The Science Research Start-up Foundation for Young Teachers of Southwest Jiaotong University ( No.2008Q074)

摘　　要：Based on the knowledge off-algebra, the concept of quotient f-algebra is mainly discussed. The sufficient condition when the quotient space is quotient f-algebra is given, and the quotient f-algebra that makes the kernel of a Riesz homomorphism as the equivalence class is obtained. Moreover, some important algebraic properties, such as commutative, semiprime and unital are studied, and the relationship between an f-algebra and its quotient space with respect to these properties are discussed in details.Based on the knowledge off-algebra, the concept of quotient f-algebra is mainly discussed. The sufficient condition when the quotient space is quotient f-algebra is given, and the quotient f-algebra that makes the kernel of a Riesz homomorphism as the equivalence class is obtained. Moreover, some important algebraic properties, such as commutative, semiprime and unital are studied, and the relationship between an f-algebra and its quotient space with respect to these properties are discussed in details.

关 键 词：F-ALGEBRA Quotient f-algebra COMMUTATIVE SEMIPRIME Unit element 

分 类 号：O153[理学—数学]