Article
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The Fundamental Theorems of Hyper-Operations
Version 1
: Received: 17 February 2019 / Approved: 19 February 2019 / Online: 19 February 2019 (10:58:09 CET)
How to cite: Barrett, R. The Fundamental Theorems of Hyper-Operations. Preprints 2019, 2019020176. https://doi.org/10.20944/preprints201902.0176.v1 Barrett, R. The Fundamental Theorems of Hyper-Operations. Preprints 2019, 2019020176. https://doi.org/10.20944/preprints201902.0176.v1
Abstract
We examine the extensions of the basic arithmetical operations of addition and multiplication on the natural numbers into higher-rank hyper-operations also on the natural numbers. We go on to de fine the concepts of prime and composite numbers under these hyper-operations and derive some results about factorisation, resulting in fundamental theorems analogous to the Fundamental Theorem of Arithmetic.
Keywords
Hyper-Operations, arithmetical operations, natural numbers
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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