Preprint Article Version 1 This version is not peer-reviewed

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 (doi: 10.20944/preprints201902.0176.v1). Barrett, R. The Fundamental Theorems of Hyper-Operations. Preprints 2019, 2019020176 (doi: 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.

Subject Areas

Hyper-Operations, arithmetical operations, natural numbers

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.