WellyAgungAndiwinata (2010) Near Integral Domain dan Semi Integral Domain. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini menunjukkan bahwa unit pada near ring N bukan pembagi nol. Hukum pencoretan berlaku pada near ring N jika dan hanya jika N merupakan near integral domain. N near integral domain komutatif dengan elemen satuan maka setiap prime element pada N merupakan irreducible element. Semi integral domain S harus inversive untuk membuktikan teorema seperti pada teorema near integral domain. Selanjutnya menentukan posisi near integral domain dan semi integral domain dengan membandingkannya.
English Abstract
In this final project we show that in a near ringN, a zero divisor cannot be a unit. Then we show that cancellation law holds in N if and only if N is a near integral domain. Furthermore every prime element in a commutative near integral domain N with 1 is necessarily an irreducible element. Semi integral domain Smust be inversive to proof the theorem like as near integral domain theorem. Finally, we know potition by comparing near integral domain and semi integral domain
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2010/324/051003908 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Unnamed user with email repository.ub@ub.ac.id |
| Date Deposited: | 10 Jan 2011 09:45 |
| Last Modified: | 22 Oct 2021 06:37 |
| URI: | http://repository.ub.ac.id/id/eprint/152461 |
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