| publication name | On initial and final L-topological groups |
|---|---|
| Authors | Fatma Bayoumi |
| year | 2005 |
| keywords | L-topological groups; Initial and final L-topological groups; L-topological subgroups; L-topological product groups; L-topological quotient groups |
| journal | Fuzzy Sets and Systems |
| volume | 156 |
| issue | Not Available |
| pages | 43 - 54. |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper a notion of L-topological group, introduced byAhsanullah in 1984, is studied. Some basic properties related to these L-topological groups are proved. In 1992 Kubiak had generalized the functors and , defined by Lowenin1976,foranycompletelatticeLtothefunctorsL andL.WeshowherethatforthisnotionofL-topological group L and L are functors. Moreover, to justify this notion of L-topological group, we show in this paper that all initial and final lifts exist uniquely in the concrete category L-TopGrp of L-topological groups and hence all initial and final L-topological groups exist and can be characterized.As consequences the L-topological subgroups, L-topological product groups, and L-topological quotient groups are exist. Some examples of L-topological groups are given.