GDL

Journal from gdlhub / 2021-08-27 15:29:43
Oleh : Sini P, Fuzzy Information and Engineering
Dibuat : 2021-08-27, dengan 0 file

Keyword : L -topological spaces, symmetric groups, Lf-representable permutation groups, group of L-homeomorphisms, direct product of permutation groups
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2020.1798166
Sumber pengambilan dokumen : Web

In this paper we investigate the group of L-homeomorphisms of an L-topological space. If there exists an L-topology δ on a set X such that the group of L-homeomorphisms of the L-topological space (X,δ) is a permuation group K on X, then K is Lf-representable on X. It is proved that the direct sum of finite Lf-representable permutation groups is Lf-representable on X. We also investigate Lf-reprsentability of some cyclic subgroups of the group SX.

Deskripsi Alternatif :

In this paper we investigate the group of L-homeomorphisms of an L-topological space. If there exists an L-topology δ on a set X such that the group of L-homeomorphisms of the L-topological space (X,δ) is a permuation group K on X, then K is Lf-representable on X. It is proved that the direct sum of finite Lf-representable permutation groups is Lf-representable on X. We also investigate Lf-reprsentability of some cyclic subgroups of the group SX.

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