Some Groupoids and their Representations by Means of Integer Sequences

Some Groupoids and their Representations by Means of Integer Sequences

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Author(s)

Author(s): Amelia Carolina Sparavigna

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DOI: 10.18483/ijSci.2188 40 118 1-5 Volume 8 - Oct 2019

Abstract

In some previous works, we have discussed the groupoids related to the integer sequences of Mersenne, Fermat, Cullen, Woodall and other numbers. These groupoids possess different binary operators. As we can easily see, other integer sequences can have the same binary operators, and therefore can be used to represent the related groupoids. Using the On-Line Encyclopedia of Integer Sequences (OEIS), we are able to identify the properties of these representations of groupoids. At the same time, we can also find integer sequences not given in OEIS and probably not yet studied.

Keywords

Groupoid Representations, Integer Sequences, Binary Operators, Generalized Sums, Generalized Entropies, Tsallis Entropy, Q-Calculus, Abelian Groups, Fermat Numbers, Mersenne Numbers, Triangular Numbers, Repunits, Oblong Numbers

References

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International Journal of Sciences is Open Access Journal.
This article is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License.
Author(s) retain the copyrights of this article, though, publication rights are with Alkhaer Publications.

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Volume 8, October 2019


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