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All Journal Kaunia: Integration and Interconnection of Islam and Science Journal
Amir Kamal Amir
Fakultas MIPA, Universitas Hasanuddin
Religion Biochemistry, Genetics & Molecular Biology Chemistry Mathematics Physics

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PEMBUKTIAN AUTOMORFISMA PADA GELANGGANG POLINOM MIRING UNTUK PEMBENTUKAN GELANGGANG POLINOM MIRING BERSUSUN Amir Kamal Amir
Kaunia: Integration and Interconnection Islam and Science Vol. 9 No. 1 (2013)
Publisher : Fakultas Sains dan Teknologi UIN Sunan Kalijaga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/kaunia.1045

Abstract

Let R be any ring with identity 1, ????1 be an endomorphism of R and ???? derivation. The skew polynomial  ring over R in an indeterminate ???? 1, denoted by ????[????],  is the set of polynomials ???????? ????1 ???? + ???? ???? −1 ???? 1 ???? −1 + ⋯ + ???? 0  where ???? ∈ ????  with multiplication rule ???? 1 ???? = ???? 1 ???? ???? 1 + ????1 ???? (????)   for all ???? ∈ ????.  In this paper, it will be proved an automorphism ???? on the skew polynomial ring ????[???? 1 ; ???? 1 , ???? ],  such that with that automorphism we can construct a iterated skew polynomial ring  with variabel ????1 and ????2, i.e., ????[????1;????1;????1][????2;????2].
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