Abstract:Based on the knowledge of f-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 th...Based on the knowledge of f-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.Read More
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
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