| Authors | H. Khass, A. R. Ashrafi and B. Bazigaran |
|---|---|
| Journal | Siberian Electronic Mathematical Reports |
| Page number | 600-613 |
| Volume number | 14 |
| Paper Type | Full Paper |
| Published At | 2017 |
| Journal Grade | ISI |
| Journal Type | Electronic |
| Journal Country | Russian Federation |
Abstract
In this paper we introduce the notions of f-subgroups and normal f-subgroups as natural generalizations of subgroups, normal subgroups and group topologies. It will be proved that the set of all f-subgroups on a group is a lattice containing the lattice of all normal f-subgroups as a sublattice. Some open questions are also presented.