Staff Members - Benha University
On initial and final L-topological groups
Fuzzy Sets and Systems • 2005
Publication Information
Authors
Fatma Bayoumi
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
Publisher
Not Available
Volume
156
Issue
Not Available
Pages
43 - 54.
publication.type
International
Paper Link
Not Available
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.