Commutative part of skew polynomial ring over split-octonion
Journal of Physics: Conference Series(2019)
Abstract
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.
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Key words
skew polynomial ring,commutative part,split-octonion
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