THE CODIMENSION FORMULA ON AF-COSUBMODULES

作     者：GUO KUNYU Department of Mathematics, Fudan University, Shanghai 200433, China 

作者机构：Department of Mathematics Fudan University Shanghai 200433 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2002年第23卷第3期

页      面：419-424页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China(No.10171019) Shuguan Project Shanghai and the Young Teacher Fund of Higher School of the Ministry of Education of China 

主　　题：AF-cosubmodule Characteristic space Analytic Hilbert module 

摘      要：Let M1, M2 be submodules of analytic Hilbert module X on ?(? Cn) such that M1 ? M2 and dimM1/M2 = k  . If M2 is an AF-cosubmodule, then the codimension dimM1/M2 of M2 in M1 equals the cardinality of zeros of M2 related to MI by counting multiplicities. The codimension formula has some interesting applications. In particular, the author calculates out the dimension of Rudin quotient module, which is raised in [14].