PEMBUKTIAN AUTOMORFISMA PADA GELANGGANG POLINOM MIRING UNTUK PEMBENTUKAN GELANGGANG POLINOM MIRING BERSUSUN
| Main Author: | Amir, Amir Kamal |
|---|---|
| Format: | Article info application/pdf Journal |
| Bahasa: | eng |
| Terbitan: |
Fakultas Sains dan Teknologi UIN Sunan Kalijaga
, 2013
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| Subjects: | |
| Online Access: |
http://ejournal.uin-suka.ac.id/saintek/kaunia/article/view/1045 http://ejournal.uin-suka.ac.id/saintek/kaunia/article/view/1045/pdf |
Daftar Isi:
- Let R be any ring with identity 1, σ1 be an endomorphism of R and δ derivation. The skew polynomial ring over R in an indeterminate x 1, denoted by R[x], is the set of polynomials an x1 n + a n −1 x 1 n −1 + ⋯ + a 0 where a ∈ R with multiplication rule x 1 a = σ 1 a x 1 + δ1 i (a) for all a ∈ R. In this paper, it will be proved an automorphism σ on the skew polynomial ring R[x 1 ; σ 1 , δ ], such that with that automorphism we can construct a iterated skew polynomial ring with variabel x1 and x2, i.e., R[x1;σ1;δ1][x2;σ2].