perpendicu- larity in Abelian Group

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Date

2014-08

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Addis Ababa University

Abstract

The main objective of the present Project is to address how to set axioms to establish a perpendicularity relation in Abelian Group and then study the existence of perpendicularity in(Zn; +) and (Q+; :) in certain other groups. This approach provides a justi_cation for the use of the symbol ? denoting relative primeness in number theory and extends the domain of this con- vention to some degree.Related to that we also consider parallelism from an axiomatic perspective.

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perpendicu- larity

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