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arxiv: 1211.0699 · v3 · pith:ZWN3ZQ7Unew · submitted 2012-11-04 · 🧮 math.RA · math.CO· math.NT

Some properties of symbol algebras of degree three

classification 🧮 math.RA math.COmath.NT
keywords somesymbolalgebrasdegreepropertiesthreealgebracoefficients
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In this paper we will study some properties of the matrix representations of symbol algebras of degree three, we study some equations with coefficients in these algebras, we find an octonion algebra in a symbol algebra of degree three, we define the Fibonacci symbol elements and we give some properties of them.

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