On the Product Rule for the Hyperbolic Scator Algebra

Autor:	Jan L. Cieśliński, Artur Kobus
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	scators non-distributive algebras Lorentz velocity addition formula fundamental embedding Mathematics QA1-939
Zdroj:	Axioms, Vol 9, Iss 2, p 55 (2020)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms9020055
Popis:	Scator set, introduced by Fernández-Guasti and Zaldívar, is endowed with a very peculiar non-distributive product. In this paper we consider the scator space of dimension 1 + 2 and the so called fundamental embedding which maps the subset of scators with non-zero scalar component into 4-dimensional space endowed with a natural distributive product. The original definition of the scator product is induced in a straightforward way. Moreover, we propose an extension of the scator product on the whole scator space, including all scators with vanishing scalar component.
Databáze:	Directory of Open Access Journals
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