Algebra

   

Compound Numbers with Dimension 5, 6 and 7

Authors: Valery Timin

This work is devoted to the search, study and compilation of the multiplication table of a composite hyperbolic (Hypercomplex) number of dimension five, six, seven (5,6,7): q = {1, i, j, k, l}: i2 = 1, j2 = 1, k2 = 1, l2 = 1. On this basis, as a template, you can pick up other multiplication tables with a different target or arbitrary arrangement of plus (+) and minus (-) signs in the cells of the multiplication table. The disadvantage of this multiplication table is its weak associativity and not commutativity (not even anti-commutativity). But this is its fundamental property. Эта работа посвящена поиску, изучению и составлению таблицы умножения составного гиперболического (гиперкомплексного) числа размерностью пять, шесть и семь (5,6,7):

Comments: language: Russian, number of pages: 6, mailto:timinva@yandex.ru, Creative Commons Attribution 3.0 License

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Submission history

[v1] 2019-07-23 14:38:41

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