Algebra

2110 Submissions

[2] viXra:2110.0180 [pdf] submitted on 2021-10-29 23:40:40

On Factorization of Multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by Exponentials and Idempotents

Authors: Eckhard Hitzer
Comments: 25 Pages. 4 tables. accepted for publication by Complex Variables and Elliptic Equations, Oct. 2021, DOI: https://doi.org/10.1080/17476933.2021.2001462

In this paper we consider general multivector elements of Clifford algebras Cl(3,0), Cl(1,2) and Cl(0,3), and look for possibilities to factorize multivectors into products of blades, idempotents and exponentials, where the exponents are frequently blades of grades zero (scalar) to n (pseudoscalar).
Category: Algebra

[1] viXra:2110.0155 [pdf] submitted on 2021-10-26 15:53:15

Reconstructing Mythic Algebra

Authors: Michael Griffin
Comments: 11 Pages. contact email mdg46@juno.com

This is the tenth in a series of papers on an algebra, derived from mythology, that can model symbolic processes. Previous papers used literary semantics, mythology, semiotics, philosophy and mathematics. The main features of the algebra are set-based elements and making association a new operation. While such a system can be reductive, it need not be. It may reconstruct into a more useful tool. Various implications for its foundations are considered. 6 Keywords: algebra, association, mathematical modeling, numbers, reduction.
Category: Algebra