New Zealand Journal of Mathematics

New Zealand Journal of Mathematics (Online)

A. A. Alijani²  A. Yekrangi³ 

[1] Islamic Azad University;Mollasadra Technical and Vocational College;Technical and Vocational University

关键词: Split;    Split Full;    Locally Compact Abelian Groups.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

Let £ be the category of all locally compact abelian (LCA) groups. In this paper, we investigate the splitting of the identity component, the subgroup of all compact elements and the maximal torsion subgroup of a group £. A group £ will be called split full if every closed subgroup of G splits. In this paper, we give a necessary condition for an LCA group to be split full.

【 授权许可】

Unknown