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dc.contributor.authorHalikin, Ikhsanul
dc.date.accessioned2018-10-26T08:21:57Z
dc.date.available2018-10-26T08:21:57Z
dc.date.issued2018-10-26
dc.identifier.issn2527-3744
dc.identifier.urihttp://repository.unej.ac.id/handle/123456789/87563
dc.descriptionAl-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam, Maret 2018, Vol.6, No.1, hal.47-56en_US
dc.description.abstractA group is a system that contains a set and a binary operation satisfying four axioms, i.e., the set is closed under binary operation, associative, has an identity element, and each element has an inverse. Since the group is essentially a set and the set itself has subsets, so if the binary operation is applied to its subsets then it satisfies the group's four axioms, the subsets with the binary operation are called subgroups. The group and subgroups further form a partial ordering relation. Partial ordering relation is a relation that has reflexive, antisymmetric, and transitive properties. Since the connection of subgroups of a group is partial ordering relation, it can be drawn a lattice diagram. The set of integers modulo n, ℤ , is a group under addition modulo n. If the subgroups of ℤ are represented as vertex and relations that is connecting two subgroups are represented as edgean , then a graph is obtained. Furthermore, the vertex in this graph can be labeled by their subgroup elements. In this research, we get the result about the characteristic of the lattice diagram of ℤ𝒏 and the existence of vertex local labeling.en_US
dc.language.isoiden_US
dc.subjectLattice Diagramen_US
dc.subjectSubgroupen_US
dc.subjectVertex Local Labellingen_US
dc.titlePelabelan Lokal Titik Graf Hasil Diagram Lattice Subgrup Znen_US
dc.typeArticleen_US


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