# Algebra

## 1905 Submissions

[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