Strong semilattices of topological groups | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 24, Issue 4, 2016, Page 597-602 PDF (372.73 K) | ||||
| DOI: 10.1016/j.joems.2016.03.003 | ||||
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| Authors | ||||
| A. M. Abd-Allah; A. I. Aggour; A. Fathy | ||||
| Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City Cairo 11884, Egypt | ||||
| 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 topologi- cal 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 | ||||
| Partial group; Topological group; Identification map; Strong semilattice; Partial group homomor- phism | ||||
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