Algebra

1909 Submissions

[3] viXra:1909.0570 [pdf] submitted on 2019-09-26 18:58:38

Cubic Power Algorithm, Using Polynomials

Authors: Zeolla Gabriel Martín
Comments: 29 Pages.

This document develops and demonstrates the discovery of a new cube potentiation algorithm that works absolutely with all the numbers using the formula of the square of a binomial, trinomial, tetranomial and pentanomial. This presents the expansion of terms to the cube, the ideal order of the coefficients to obtain a sum that generates the results of the power.
Category: Algebra

[2] viXra:1909.0429 [pdf] replaced on 2021-02-09 11:08:03

On the Normalizer of a Proper Subgroup of a Group of Prime Power Order

Authors: Henry Wong
Comments: 1 Page.

In this paper we lay out the proof of this result in group theory using only elementary facts in group theory.
Category: Algebra

[1] viXra:1909.0255 [pdf] submitted on 2019-09-11 13:40:44

Compound Numbers with Dimension 9

Authors: Valery Timin
Comments: 2 Pages. Russian

This work is devoted to the search, study and compilation of the multiplication table of a compound hyperbolic (Hypercomplex) number of dimension nine (9): q = {1, i1, i2, i3, …, i8, }: in2 = 1. On this basis, as a template, you can choose other multiplication tables with a different target or arbitrary arrangement of plus (+) and minus (-) characters in the cells of the multiplication table. The disadvantage of multiplication tables of dimension 9 is that they are neither associative nor commutative (not even anticommutative). But this is their fundamental property.
Category: Algebra