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All Journal MATEMATIKA BAREKENG: Jurnal Ilmu Matematika dan Terapan Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Makara Journal of Science
Amir Kamal Amir
Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Hasanuddin
Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Public Health Transportation Other

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Journal : Makara Journal of Science

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IDEAL MAKSIMAL DAN PRIMA DARI GELANGGANG POLINOM MIRING ATAS DAERAH BILANGAN BULAT GAUSS Amir, Amir Kamal
Makara Journal of Science Vol. 14, No. 2
Publisher : UI Scholars Hub

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Abstract

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 anx n + an-1x n-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 i 2 = -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.
Co-Authors A.A. Ketut Agung Cahyawan W Firman Firman Gormantara, Jeriko Hanni Garminia Haryanto, Loeky Hinding, Nurdin Jusmawati Massalesse Kasbawati Kasbawati Lase, Dermawan Mahie, Andi Galsan Naimah Aris Nur Erawaty Ramdan, Evan Rangkuti, Aidawayati Sahriman, Sitti