Prameswari, Zarra (2016) STRONG SHIFT EQUIVALENCE PADA ALJABAR GRAF. S1 thesis, Universitas Pendidikan Indonesia.
Abstract
Graf berarah memuat dua himpunan berhingga dan serta suatu fungsi yang memberikan arah dari setiap sisi. Keluarga Cuntz-Krieger- di dari suatu graf berarah berhingga baris merupakan suatu keluarga yang terdiri dari himpunan dari proyeksi yang saling ortogonal di dan himpunan dari isometri parsial di sehingga memenuhi relasi Cuntz-Krieger. Aljabar- yang dibangun oleh keluarga Cuntz-Krieger- disebut dengan aljabar graf. Dua buah graf dikatakan strong shift equivalence jika terdapat barisan matriks titik yang elementary strong shift equivalence di antara kedua graf tersebut. Dua buah edge shift dari dua graf berbeda konjugat jika dan hanya jika kedua matriks titiknya strong shift equivalence. Penulisan ini mempelajari tentang strong shift equivalence pada aljabar graf, dan akan diberikan dua buah graf yang strong shift equivalence dan aljabar grafnya. Kata kunci: Aljabar- , graf, keluarga Cuntz-Krieger- , elementary strong shift equivalence, strong shift equivalence. A directed graph consists two countable sets , and a function . A Cuntz-Krieger -family on of a directed row-finite graph consists of a set of mutually orthogonal projections on and a set of partial isometries on such that satisfies the Cuntz-Krieger relation. -algebra generated by a Cuntz-Krieger -family is called graph algebra. Two graphs called strong shift equivalence if there is a sequence of vertex matrices that are elementary strong shift equivalence between them. Two edge shift from two different graphs are conjugate if and only if their vertex matrix are strong shift equivalence. This paper studies about strong shift equivalence on graph algebra and given two graphs that are strong shift equivalence and their graph algebras. Key words: -algebra, graph, Cuntz-Krieger -family, elementary strong shift equivalence, strong shift equivalence.
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| Item Type: | Thesis (S1) |
|---|---|
| Additional Information: | No. Panggil : S MAT PRA s-2016; Pembimbing : I. Rizky Rosjanuardy, II. Isnie Yusnitha |
| Uncontrolled Keywords: | Aljabar- , graf, keluarga Cuntz-Krieger- , elementary strong shift equivalence, strong shift equivalence. |
| Subjects: | L Education > L Education (General) Q Science > QA Mathematics |
| Divisions: | Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Program Studi Matematika - S1 > Program Studi Pendidikan Matematika |
| Depositing User: | Mrs. Neni Sumarni |
| Date Deposited: | 12 Oct 2017 03:39 |
| Last Modified: | 12 Oct 2017 03:39 |
| URI: | http://repository.upi.edu/id/eprint/27018 |
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