About a definition of metric over an abelian linearly ordered group

About a definition of metric over an abelian linearly ordered group

A G-metric over an abelian linearly ordered group G = (G,⊙,≤) is a binary operation, d G , verifying suitable properties. We consider a particular G metric derived by the group operation ⊙ and the total weak order ≤, and show that it provides a base for the order topology associated to G....

Full description

Bibliographic Details
Main Authors: Bice Cavallo, Livia D’Apuzzo
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2012-06-01
Series:Ratio Mathematica
Subjects:
G-metric, abelian linearly ordered group, multi-criteria decision making.
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/61
id doaj-b67731868cb54b29a8adcb6b48ddb031
record_format Article
spelling doaj-b67731868cb54b29a8adcb6b48ddb0312020-11-24T22:26:52ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142012-06-0122131266About a definition of metric over an abelian linearly ordered groupBice Cavallo0Livia D’Apuzzo1University Federico II, Naples, ItalyUniversity Federico II, Naples, ItalyA G-metric over an abelian linearly ordered group G = (G,⊙,≤) is a binary operation, d G , verifying suitable properties. We consider a particular G metric derived by the group operation ⊙ and the total weak order ≤, and show that it provides a base for the order topology associated to G.http://eiris.it/ojs/index.php/ratiomathematica/article/view/61G-metric, abelian linearly ordered group, multi-criteria decision making.
collection DOAJ
language English
format Article
sources DOAJ
author Bice Cavallo
Livia D’Apuzzo
spellingShingle Bice Cavallo
Livia D’Apuzzo
About a definition of metric over an abelian linearly ordered group
Ratio Mathematica
G-metric, abelian linearly ordered group, multi-criteria decision making.
author_facet Bice Cavallo
Livia D’Apuzzo
author_sort Bice Cavallo
title About a definition of metric over an abelian linearly ordered group
title_short About a definition of metric over an abelian linearly ordered group
title_full About a definition of metric over an abelian linearly ordered group
title_fullStr About a definition of metric over an abelian linearly ordered group
title_full_unstemmed About a definition of metric over an abelian linearly ordered group
title_sort about a definition of metric over an abelian linearly ordered group
publisher Accademia Piceno Aprutina dei Velati
series Ratio Mathematica
issn 1592-7415
2282-8214
publishDate 2012-06-01
description A G-metric over an abelian linearly ordered group G = (G,⊙,≤) is a binary operation, d G , verifying suitable properties. We consider a particular G metric derived by the group operation ⊙ and the total weak order ≤, and show that it provides a base for the order topology associated to G.
topic G-metric, abelian linearly ordered group, multi-criteria decision making.
url http://eiris.it/ojs/index.php/ratiomathematica/article/view/61
work_keys_str_mv AT bicecavallo aboutadefinitionofmetricoveranabelianlinearlyorderedgroup
AT liviadapuzzo aboutadefinitionofmetricoveranabelianlinearlyorderedgroup
_version_ 1725751390059364352

Similar Items