MATHEMATICS

On parallel straight lines designated on an $n$-ary group

Yu. V. Kravchenko

F. Scorina Gomel State University, Gomel

Abstract: 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.

UDC: 512.54

Received: 19.06.2012