# Algebra

## 1905 Submissions

[5] **viXra:1905.0530 [pdf]**
*submitted on 2019-05-27 10:01:35*

### A Noble Derivation of Polynomial Multiplication Rules

**Authors:** Likai Fareed

**Comments:** 1 Page.

Through my most extensive research, I have made a groundbreaking discovery. While many of us are familiar with binomial theorem and the polynomial multiplication algorithm, "First Outside Inside Last", there are also a set of rules that apply in field R. For instance, (a+b)^2 expands to a^2+b^2, and (a+b)(a-b) expands to a+b. This paper seeks to prove these rules in a simple and geometric manner.

**Category:** Algebra

[4] **viXra:1905.0430 [pdf]**
*submitted on 2019-05-23 01:50:13*

### Fundamental-Methods-Of-Mathematical-Economics-by-Kevin-Wainwright-Professor-Alpha-C-Chiang

**Authors:** Kevin

**Comments:** 1 Page.

Fundamental-Methods-Of-Mathematical-Economics-by-Kevin-Wainwright-Professor-Alpha-C-Chiang

**Category:** Algebra

[3] **viXra:1905.0379 [pdf]**
*submitted on 2019-05-19 06:10:10*

### Refutation of Lattice Effect Algebra

**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.

A seminal definition of lattice effect algebra is not tautologous. This refutes lattice effect and lattice pseudoeffect algebras along with the chain effect of quasiresiduation. The conjectures form a non tautologous fragment of the universal logic VŁ4.

**Category:** Algebra

[2] **viXra:1905.0361 [pdf]**
*submitted on 2019-05-19 16:23:26*

### Expansion of Terms Squared, Square of a Binomial, Trinomial, Tetranomial and Pentanomial.

**Authors:** Zeolla Gabriel Martín

**Comments:** 12 Pages.

This document develops and demonstrates the discovery of a new square potentiation algorithm that works absolutely with all the numbers using the formula of the square of a binomial, trinomial, tetranomial and pentanomial.

**Category:** Algebra

[1] **viXra:1905.0122 [pdf]**
*submitted on 2019-05-07 09:45:28*

### The Burnside Q-Algebras of a Monoid

**Authors:** Pierre-Yves Gaillard

**Comments:** 4 Pages.

To each monoid M we attach an inclusion A --> B of Q-algebras, and ask: Is B flat over A? If our monoid M is a group, A is von Neumann regular, and the answer is trivially Yes in this case.

**Category:** Algebra