关于LCA群构造的若干问题  

On the Structure of a Locally Compact Abelian Group

作　　者：刘存学 

出　　处：《天津商业大学学报》1990年第2期42-45,58,共5页Journal of Tianjin University of Commerce

摘　　要：本文包括三个主要结果,第一个关于商群G/H和乘积空间G×G/H的性质,这里H是拓扑群G的一个子群。其次证明了当G是一个局部紧交换群且H是它的紧子群时,H的零化子A是对偶群G的开子群。最后一个结果表明G与Z/A可视为同一,而其中的G是一个紧交换群,=G,Z是带有离散拓扑的整数加群。This paper contains three main results. The first is about the properties of the quotient group G/H and the product space G/H. Where H is a subgroup of a topological group G. The Second is that we have proved that the annibilator A of H is an open subgroup of the dual group G when G is a locally compact abelian group and H is its compact group. The third is the identity of G and Z/(?), where G is a compact abelian group A=G and Z is the additive group of integers with discrete topology.

关 键 词：拓扑群 群构造 乘积空间 局部紧交换群 离散拓扑 对偶群 开子群 零化子 正规子群 商群 

分 类 号：F7[经济管理—产业经济]