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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 600–613
DOI: https://doi.org/10.17377/semi.2017.14.051 (Mi semr808) 		 
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
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DOI: https://doi.org/10.17377/semi.2017.14.051
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.
Funding agency Grant number
University of Kashan 364988/19
The work is partially supported by University of Kashan (grant 364988/19).
Received October 30, 2015, published July 10, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.546
MSC: 06B30
Language: English
Citation: H. Khass, A. R. Ashrafi, B. Bazigaran, “On the lattice of f-subgroups”, Sib. Èlektron. Mat. Izv., 14 (2017), 600–613
Citation in format AMSBIB
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\by H.~Khass, A.~R.~Ashrafi, B.~Bazigaran
\paper On the lattice of f-subgroups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 600--613
\mathnet{http://mi.mathnet.ru/semr808}
\crossref{https://doi.org/10.17377/semi.2017.14.051}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200051}
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