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Groupoids of Type I and II Using [0, n)

By Kandasamy, W. B. Vasantha

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Book Id: WPLBN0100303073
Format Type: PDF (eBook)
File Size: 3.09 MB.
Reproduction Date: 10/5/2014

Title: Groupoids of Type I and II Using [0, n)  
Author: Kandasamy, W. B. Vasantha
Volume:
Language: English
Subject: Non Fiction, Science
Collections: Mathematics, Authors Community
Historic
Publication Date:
2014
Publisher: Educational Publisher
Member Page: InfiniteScience

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Vasantha Kandasamy, W. B., & Smarandache, F. (2014). Groupoids of Type I and II Using [0, n). Retrieved from http://self.gutenberg.org/


Description
Study of algebraic structures built using [0, n) happens to be one of an interesting and innovative research. Here in this book authors define non associative algebraic structures using the interval [0, n). Here the authors define two types of groupoids using [0, n) both of them are of infinite order. It is an open conjecture to find whether these new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity or Bruck identity or so on. We know on [0, n) we cannot build rings only pseudo rings, however in this book the authors use these type I and type II groupoids to build non associative rings and semirings. Several interesting results are derived and some open problems are suggested.

 

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