Perpendicularity in an Abelian group
type: Item
instance of: scholarly article
title: Perpendicularity in an Abelian group
zbMATH Open document ID: 1264.51012
DOI: 10.1155/2013/983607
author: Pentti Haukkanen
author: Mika Mattila
author: Timo Tossavainen
author: Jorma K. Merikoski
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2013-05-23T00:00:00Z
review text: Summary: We give a set of axioms to establish a perpendicularity relation in an abelian group and then study the existence of perpendicularities in \((\mathbb Z_n, +)\) and \((\mathbb Q_+, \cdot)\) and in certain other groups. Our approach provides a justification for the use of the symbol \(\perp\) denoting relative primeness in number theory and extends the domain of this convention to some degree. Related to that, we also consider parallelism from an axiomatic perspective.
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 51F20
Mathematics Subject Classification ID: 20K01
zbMATH DE Number: 6165375
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/983607
OpenAlex ID: W2061536388
cites work: Q4320535
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description: scientific article; zbMATH DE number 6165375