Abstract
The arithmetic of the natural numbers can be extended to arithmetic operations on planar binary trees. This gives rise to a noncommutative arithmetic theory. In this exposition, we describe this arithmetree, first defined by Loday, and investigate prime trees.
Citation
Adriano Bruno. Dan Yasaki. "The arithmetic of trees." Involve 4 (1) 1 - 11, 2011. https://doi.org/10.2140/involve.2011.4.1
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