Perpendicularity in an Abelian Group
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...
Main Authors: | , , , |
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Format: | Article |
Jezik: | English |
Izdano: |
Hindawi Limited
2013-01-01
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Serija: | International Journal of Mathematics and Mathematical Sciences |
Online dostop: | http://dx.doi.org/10.1155/2013/983607 |