The algebraic structure of quantity calculus

Pérez Raposo, Álvaro (2018). The algebraic structure of quantity calculus. "Measurement science review", v. 18 (n. 4); pp. 147-157. ISSN 1335-8871. https://doi.org/10.1515/msr-2017-0021.

Description

Title: The algebraic structure of quantity calculus
Author/s:
  • Pérez Raposo, Álvaro
Item Type: Article
Título de Revista/Publicación: Measurement science review
Date: July 2018
ISSN: 1335-8871
Volume: 18
Subjects:
Freetext Keywords: Quantity calculus, algebraic structure, group of dimension
Faculty: E.T.S. de Edificación (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (1MB) | Preview

Abstract

Se define axiomáticamente la estructura algebraica que subyace al cálculo con cantidades físicas, es decir, los resultados de medidas. Esta estructura no ha sido descrita de forma ajustada con anterioridad---ABSTRACT---The algebraic structure underlying the quantity calculus is defined axiomatically as an algebraic fiber bundle, that is, a base structure which is a free Abelian group together with fibers which are one dimensional vector spaces, all of them bound by algebraic restrictions. Subspaces,tensor product, and quotient spaces are considered, as well as homomorphisms to end with a classification theorem of these structures. The new structure provides an axiomatic foundation of quantity calculus which is centered on the concept of dimension, rather than on the concept of unit, which is regarded as secondary, and uses only integer exponents of the dimensions.

More information

Item ID: 52037
DC Identifier: http://oa.upm.es/52037/
OAI Identifier: oai:oa.upm.es:52037
DOI: 10.1515/msr-2017-0021
Official URL: https://content.sciendo.com/view/journals/msr/18/4/article-p147.xml
Deposited by: Memoria Investigacion
Deposited on: 15 Jan 2019 12:06
Last Modified: 26 Apr 2019 11:46
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM