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

Authors

  • Amir Kamal Amir Fakultas MIPA, Universitas Hasanuddin

DOI:

https://doi.org/10.14421/kaunia.1045

Keywords:

automorphism, ring, iterated, skew, polynomial

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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Published

2013-05-01

How to Cite

Amir, A. K. (2013). PEMBUKTIAN AUTOMORFISMA PADA GELANGGANG POLINOM MIRING UNTUK PEMBENTUKAN GELANGGANG POLINOM MIRING BERSUSUN. Kaunia: Integration and Interconnection Islam and Science Journal, 9(1), 63–69. https://doi.org/10.14421/kaunia.1045

Issue

Vol. 9 No. 1 (2013)

Section

Articles

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