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Infinite Quaternion Pseudo Rings Using [0, n)

By Kandasamy, W. B. Vasantha

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Book Id: WPLBN0100303057
Format Type: PDF (eBook)
File Size: 10.71 MB.
Reproduction Date: 1/1/2015

Title: Infinite Quaternion Pseudo Rings Using [0, n)  
Author: Kandasamy, W. B. Vasantha
Volume:
Language: English
Subject: Non Fiction, Science
Collections: Mathematics, Authors Community
Historic
Publication Date:
2015
Publisher: Educational Publisher
Member Page: InfiniteScience

Citation

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Vasantha Kandasamy, W. B., & Smarandache, F. (2015). Infinite Quaternion Pseudo Rings Using [0, n). Retrieved from http://www.gutenberg.cc/


Description
In this book authors study the properties of finite real quaternion ring which was introduced in [2000]. Here a complete study of these finite quaternion rings are made. Also polynomial quaternion rings are defined, they happen to behave in a very different way. In the first place the fundamental theorem of algebra, “a nth degree polynomial has n and only n roots”, n is untrue in case of polynomial in polynomial quaternion rings in general. Further the very concept of derivative and integrals of these polynomials are untrue. Finally interval pseudo quaternion rings also behave in an erratic way. Not only finite real quaternion rings are studied, but also finite complex modulo integer quaternion rings, neutrosophic finite quaternion rings, complex neutrosophic quaternion rings for the first time are introduced and analysed. All these rings behave in a very unique way. This book contains several open problems which will be a boon to any researcher.

 

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