The Arithmetic of Planar Binary Trees

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Dan Yasaki, Associate Professor & Director of Undergraduate Studies (Creator)
The University of North Carolina at Greensboro (UNCG )
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Abstract: The arithmetic of the natural numbers N 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.

Additional Information

Involve, 4(1), 1-11
Language: English
Date: 2011
arithmetree, planar binary trees

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