perpendicularity in an abelian group
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ID: 176978
2013
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Abstract
We give a set of axioms to establish a perpendicularity relation in an Abelian group and
then study the existence of perpendicularities in (ℤn,+) and (ℚ+,·)
and in certain other groups. Our approach provides a justification for the use of the symbol ⊥
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.
| Reference Key |
haukkanen2013internationalperpendicularity
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|---|---|
| Authors | ;Pentti Haukkanen;Mika Mattila;Jorma K. Merikoski;Timo Tossavainen |
| Journal | structural engineering and mechanics |
| Year | 2013 |
| DOI |
10.1155/2013/983607
|
| URL | |
| Keywords |
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