IDEAL MAKSIMAL DAN PRIMA DARI GELANGGANG POLINOM MIRING ATAS DAERAH BILANGAN BULAT GAUSS
| Main Author: | Amir Kamal Amir; Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Hasanuddin, Makassar 90245, Indonesia |
|---|---|
| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Directorate of Research and Community Engagement, Universitas Indonesia
, 2011
|
| Online Access: |
http://journal.ui.ac.id/index.php/science/article/view/736 |
Daftar Isi:
- Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain. Let R be any ring with identity 1, σ be an automorphism of R and δ be a left σ-derivation. The skew polynomial ring over R in an indeterminate x is the set of polynomials anxn + an-1xn-1 + . . . + a0 where ai∈ R with multiplication rule xa = σ (a) x + δ(a) for all ai∈ R. In this paper, R is Gauss integers, i.e Z + Zi, where i2 = -1, σ is the automorphism of R with σ(a + bi) = a - bi where a,b∈ Z, the ring of integers, and δ is the zero σ-derivation. We will show maximal and prime ideals of this skew polynomial ring.