The arithmetic of trees

Details The arithmetic of trees The arithmetic of trees

2008-09-25

arxiv.org/abs/0809.4448v1

Mathematics

Combinatorics

9 pages, 2 figures, 1 table

Scientific paper

The arithmetic of the natural numbers can be extended to arithmetic
operations on planar binary trees. This gives rise to a non-commutative
arithmetic theory. In this exposition, we describe this arithmetree, first
defined by Loday, and investigate prime trees.

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