Quaternionic Product of Circles and Cycles and Octonionic Product for Pairs of Circles
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Abstract:
This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given products are proposed.
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Journal title
volume 17 issue 1
pages 227- 237
publication date 2022-04
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