engleski

Heap-ternary algebraic structure

In this paper some classes of ternary algebraic structures (semi-heaps, heaps) are considered. The connection between heaps (laterally commutative heaps) and corresponding algebraic and geometric structures is presented. The equivalence of heap existence and the Desargues system on the same set is directly proved. It is the starting point for an analogous result about a laterally commutative heap and a parallelogram space.

semi-heap ; heap ; ternary operation ; Desargues system ; parallelogram space

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