PEMBUKTIAN AUTOMORFISMA PADA GELANGGANG POLINOM MIRING UNTUK PEMBENTUKAN GELANGGANG POLINOM MIRING BERSUSUN

Amir Kamal Amir (Fakultas MIPA, Universitas Hasanuddin)

Kaunia: Integration and Interconnection of Islam and Science Journal
Vol. 9 No. 1 (2013)

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].