|
This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
On the lattice of f-subgroups
H. Khass, A. R. Ashrafi, B. Bazigaran University of Kashan,
Department of Pure Mathematics,
Faculty of Mathematical Sciences,
Kashan 87317-51167, I. R. Iran
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.
Keywords:
group topology, f-subgroup, normal f-subgroup.
Received October 30, 2015, published July 10, 2017
Citation:
H. Khass, A. R. Ashrafi, B. Bazigaran, “On the lattice of f-subgroups”, Sib. Èlektron. Mat. Izv., 14 (2017), 600–613
Linking options:
https://www.mathnet.ru/eng/semr808 https://www.mathnet.ru/eng/semr/v14/p600
|
|