期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2013
卷号：2013
DOI：10.1155/2013/983607
出版社：Hindawi Publishing Corporation
摘要：We give a set of axioms to establish a perpendicularity relation in an Abelian group and
then study the existence of perpendicularities in and
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.
