References
- [1] ALPAY, A.—VAJIAC, A.—VAJIAC, M. B.: Gleason,s problem associated to a real ternary algebra and applications, Adv. Appl. Clifford Algebr. 28 (2018), no. 2, pp. 16. (Published online, paper no. 43)
- [2] DROZD, YU. A.—KIRICHENKO, V. V.: Finite Dimensional Algebras. Springer-Verlag, Berlin, 1994.
- [3] GREGOR, T.—HALUŠKA, J.: Lexicographical ordering and field operations in the complex plane, Stud. Mat. 41 (2014), no. 2, 123–133.
- [4] HALUŠKA, J.: On fields inspired with a polar HSV-RGB theory of colour. In: Modern Real Analysis (J. Hejduk, S. Kowalczyk, R. Pawlak, M.Turowska, ed.),Wydawnictwo Universytetu Łódźkiego, Łódź 2015, pp. 69–88.
- [5] HARKIN, A. A.—HARKIN, J. B.: Geometry of general complex numbers,Mathematics magazine, 77 (2004), no. 2, 118–129; https://www.researchgate.net/publication/265769569_Geometry_of_Generalized_complex_Numbers
- [6] LIPATOV L. N.—RAUSCH DE TRAUTENBERG, M.—VOLKOV G. G.: On the ternary complex analysis and its application, J. Math. Phys. 49 (2008), no. 1, 013502. (Published online) https://doi.org/10.1063/1.282746910.1063/1.2827469
- [7] NECHAEV, V. I.: Number Systems. Izdat. Prosveshchenie, Moscow, 1975. (In Russian)
- [8] RUDIN, W.: Functional Analysis (2nd edition). In: McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York 1973; In: Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, 1991.
- [9] PIERCE, R. S.: Associative Algebras. Springer-Verlag, Berlin, 1982.
- [10] SNYDER, H. H.: An introduction to theories of regular functions on linear associative mathematics, In: Commutative Algebra. Analytic Methods (Fairfax, Va., 1979), pp. 75–94; In: Lecture Notes in Pure and App. Math. Vol. 68, Dekker, New York, 1982.
- [11] WARNER, S.: Topological Fields.In: Mathematical Studies Vol. 157.In: Notas Mathematica Vol. 126 (L. Nachbin, ed.), Nord-Holland-Amsterdam-N.Y.-Oxford-Tokyo, 1989.
- [12] arxiv 1901.08448