Maximal perpendicularity in certain Abelian groups

We define perpendicularity in an Abelian group G as a binary relation satisfying certain five axioms. Such a relation is maximal if it is not a subrelation of any other perpendicularity in G. A motivation for the study is that the poset (𝒫, ⊆) of all perpendicularities in G is a lattice if G has a u...

Full description

Bibliographic Details
Main Authors: Mattila Mika, Merikoski Jorma K., Haukkanen Pentti, Tossavainen Timo
Format: Article
Language:English
Published: Sciendo 2017-08-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.1515/ausm-2017-0016