Geodesic
On parallel straight lines designated on an $n$-ary group
Problemy fiziki, matematiki i tehniki, no. 4 (2012), pp. 54-57

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In the paper the other approach to the notion of the parallelogram on the $n$-ary group is presented. Traditionally a parallelogram on an $n$-ary group is considered as four points satisfying the determined identity. Here the parallelogram is considered as two pairs of parallel straight lines. These two approaches are proved to be equivalent.
Keywords: $n$-ary group, inverse sequence, neutral sequence, parallel straight line, parallelogram. 
@article{PFMT_2012_4_a9,
     author = {Yu. V. Kravchenko},
     title = {On parallel straight lines designated on an $n$-ary group},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {54--57},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_4_a9/}
}
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Yu. V. Kravchenko. On parallel straight lines designated on an $n$-ary group. Problemy fiziki, matematiki i tehniki, no. 4 (2012), pp. 54-57. http://geodesic.mathdoc.fr/item/PFMT_2012_4_a9/