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Ring Field and Vector Space on Combinatorial Geometric Series and Binomial Coefficients

29 September 2022, Version 3
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This paper discusses an abelian group, ring, field, vector space under addition and multiplication of the binomial coefficients in combinatorial geometric series. The coefficient for each term in combinatorial geometric series refers to a binomial coefficient. This idea can enable the scientific researchers to solve the real life problems.

Keywords

combinatorics
binomial coefficient
abelian group
ring
field
vector space

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Now Published

Vector Space on the Binomial Coefficients in Combinatorial Geometric Series [opens in a new tab]
Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira journal article
The Journal of Engineering and Exact Sciences , Volume 9, Issue 6
Online publication date: Mar 14, 2023

Version History

Sep 29, 2022 Version 3

Version Notes

Vector space has been newly added in the revised version.

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2022-mzwxk-v3
D O I: 10.33774/coe-2022-mzwxk-v3 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) declare that they have sought and gained approval from the relevant ethics committee/IRB for this research and its publication.

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