Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6899025 | Journal of the Egyptian Mathematical Society | 2016 | 6 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
A.M. Abd-Allah, A.I. Aggour, A. Fathy,