Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10323996 | Fuzzy Sets and Systems | 2005 | 12 Pages |
Abstract
In this paper a notion of L-topological group, introduced by Ahsanullah in 1984, is studied. Some basic properties related to these L-topological groups are proved. In 1992 Kubiak had generalized the functors Ï and ι, defined by Lowen in 1976, for any complete lattice L to the functors ÏL and ιL. We show here that for this notion of L-topological group ÏL and ιL 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Fatma Bayoumi,