Algebra

1909 Submissions

[5] 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

[4] viXra:1909.0429 [pdf] submitted on 2019-09-20 20:45:35

The Normalizer of a P-Group

Authors: Henry Wong
Comments: 1 Page.

Group theory
Category: Algebra

[3] viXra:1909.0292 [pdf] submitted on 2019-09-13 10:33:39

Refutation of Computability, Orders, and Solvable Groups

Authors: Colin James III
Comments: 1 Page. Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at ersatz-systems.com.

We evaluate the first definition for a pre-orderable group which is not tautologous. This refutes subsequent conjectures, and forms a non tautologous fragment of the universal logic VŁ4.
Category: Algebra

[2] viXra:1909.0286 [pdf] submitted on 2019-09-13 18:09:39

Refutation of a Class of Lipschitz Horizontal Vector Fields in Homogeneous Groups

Authors: Colin James III
Comments: 1 Page. Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at ersatz-systems.com.

We evaluate a Lipschitz horizontal vector field on Heisenberg group. It is not tautologous and further exemplifies that vector spaces are not bivalent. This forms a non tautologous fragment of the universal logic VŁ4.
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