Commutative part of skew polynomial ring over split-octonion

Let R be a ring. The set of polynomials R[x: σ] forms a ring with multiplication rule σ(a)x for all a ∈ R where σ is an endomorphism on R. In this paper R is the ring split octonion. Split octonion is an anti-commutative 8-dimensional alternative ring. In this paper, the commutative part of that rin...

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Veröffentlicht in:Journal of physics. Conference series 2019-10, Vol.1341 (6), p.62016
Hauptverfasser: Amir, A K, Kusnaeni, Erawaty, N, Bahri, M, Mahie, A G, Azis, M I
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Sprache:eng
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Zusammenfassung:Let R be a ring. The set of polynomials R[x: σ] forms a ring with multiplication rule σ(a)x for all a ∈ R where σ is an endomorphism on R. In this paper R is the ring split octonion. Split octonion is an anti-commutative 8-dimensional alternative ring. In this paper, the commutative part of that ring over spilt octonion ring is determined.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1341/6/062016