On fields inspired with the polar HSV -- RGB theory of Colour
Haluška, Ján
Original · EN
A three-polar, cf. T. Gregor, J. Haluška, Lexicographical ordering and field operations in the complex plane. Stud. Mat. 41(2014), 123--133., HSV-RGB Colour space was introduced and studied. It was equipped with operations of addition, subtraction, multiplication, and (partially) division. Achromatic Grey Hues form an ideal S. Factorizing by the ideal S, we obtain a field | S. An element (i.e an individual Colour) in | S is a triplet of three triangular coefficients. The set of all triangular coefficients is a subset of a semi-field of parabolic-complex functions. For the parabolic-complex number set, cf. A. A. Harkin--J. B. Harkin, Geometry of general complex numbers. Mathematics magazine, 77(2004), 118--129.
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