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