M. CHALID FANSURY, 1217031042 (2016) FAKTORISASI PADA IDEAL RING QUADRATIC √. FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM, UNIVERSITAS LAMPUNG.
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Abstract
Untuk bilangan bulat kuadrat bebas d selain 1 Misalkan, [√ ] { √ } Selanjutnya K disebuat lapangan kudratik dan memiliki dua variabel himpunan bilangan rasional Q, bentuk bilangan dari K adalah { √ } dan { ( √ ) } Untuk , himpunan ( ) ̅ dan ( ) ̅ masing-masing disebut trace dan norm dari . Setiap ideal di yang dibangun oleh elemen Z adalah ideal utama. Jika sebuah ideal di mempunyai 1 elemen dari Z yang relative prima, maka ideal tersebut merupakan ideal unit. Kemudian misalkan (2) ideal di dengan dan ideal ( ) dapat difaktorkan. Key Words : kuadrat bebas, ideal prima, ideal unit, trace, norm, irreducible, ring quadratic. abstrak bahasa inggris For a square free integer d other than 1 Let, [√ ] { √ } Next, K is called quadratic field and it has two variable set of rational number Q, the form number of K is, { √ } and { ( √ ) } For , set of ( ) ̅ and ( ) ̅ itself is called trace and norm from . Every ideal in that built by element Z is principal ideal. If an ideal in has 1 element from Z that relatively prime, then that ideal is unit ideal. Then let (2) ideal in with and ideal ( ) can be factorized. Key Words : square free, principal ideal, unit ideal, trace, norm, irreducible, ring quadratic.
| Item Type: | Other |
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| Subjects: | Q Science (General) > QA Mathematics |
| Divisions: | Fakultas MIPA > Prodi Matematika |
| Depositing User: | 7071054 . Digilib |
| Date Deposited: | 15 Feb 2016 04:03 |
| Last Modified: | 15 Feb 2016 04:03 |
| URI: | http://digilib.unila.ac.id/id/eprint/21030 |
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