KONDISI (L) DAN KONDISI (K) PADA ALJABAR GRAF

Taufiquzzaman, Ni’matullah (2015) KONDISI (L) DAN KONDISI (K) PADA ALJABAR GRAF. S1 thesis, Universitas Pendidikan Indonesia.

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Official URL: http://repository.upi.edu

Abstract

Untuk graf berarah E, aljabar graf C^* (E) adalah bentuk umum dari aljabar-C^* dibangun oleh proyeksi ortogonal dan isometri parsial yang dikaitkan dengan titik-titik dan sisi-sisi pada graf E dan memenuhi persamaan Cuntz-Krieger. Kita sebut graf berarah E memenuhi kondisi (L) jika setiap cycle di E memiliki entri. Suatu graf berarah E dikatakan memenuhi kondisi (K) jika setiap titik dari graf E tidak memuat cycle atau terdapat dua cycle. Tujuan kita adalah melihat sifat dari aljabar graf C^* (E) jika graf berarah E memenuhi kondisi (L) ataupun kondisi (K). Kata kunci : Aljabar-C^*, proyeksi ortogonal, isometri parsial, graf berarah, aljabar graf, kondisi (L), kondisi (K). For a directed graph E, the graph algebra C^* (E) is the universal C^*-algebra generated by projection and partial isometris satisfying Cuntz-Krieger relations. We say the graph E satisfies condition (L) if every cycle in E has an entry. We say the graph E satisfies condition (K) if every vertex of graph E there is no cycle or there are two cycle based at that. Our goal is to see charactersitic of graph algebra C^* (E) if directed graph E satisfies condition (L) either or condition (K). Key word : C^*-Algebra, orthogonal projection, partial isometric, directed graph, graph algebra, condition (L), condition (K).

Item Type: Skripsi,Tesis,Disertasi (S1)
Additional Information: No. Panggil: S_MAT_TAU k-2016; Pembimbing : I. Rizky Rosjanuardi, II. Isnie Yusnitha
Uncontrolled Keywords: Aljabar-C^*, proyeksi ortogonal, isometri parsial, graf berarah, aljabar graf, kondisi (L), kondisi (K).
Subjects: L Education > L Education (General)
Q Science > QA Mathematics
Divisions: Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Jurusan Pendidikan Matematika
Depositing User: Mr. Cahya Mulyana
Date Deposited: 14 Nov 2016 06:22
Last Modified: 14 Nov 2016 06:22
URI: http://repository.upi.edu/id/eprint/22370

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