Strong semilattices of topological groups

Journal of the Egyptian Mathematical Society

关键词: Partial group;    Topological group;    Identification map;    Strong semilattice;    Partial group homomorphism;   

DOI  :  10.1016/j.joems.2016.03.003

来源: DOAJ

【 摘 要 】

The notion of partial groups and their basic properties have been given in [1,2]. In this paper, we introduce the concept of topological partial groups and discuss some of their basic properties. So, the category of topological partial groups Tpg, as objects, and the homomorphisms of topological partial groups, as arrows, have some deficiencies. To get over these deficiencies, we introduced the category of locally compact partial groups denoted by Lcpg. Finally, we introduced the category of strong semilattices of topological groups denoted by Sstg.

【 授权许可】

Unknown