Taufiquzzaman, Ni’matullah (2015) KONDISI (L) DAN KONDISI (K) PADA ALJABAR GRAF. S1 thesis, Universitas Pendidikan Indonesia.
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).
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| Item Type: | Thesis (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 > Program Studi Matematika - S1 |
| 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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