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Algebraic Structures on Real and Neutrosophic Semi Open Squares

By Kandasamy, W. B. Vasantha

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Book Id: WPLBN0100302934
Format Type: PDF eBook:
File Size: 5.24 MB
Reproduction Date: 10/1/2014

Title: Algebraic Structures on Real and Neutrosophic Semi Open Squares  
Author: Kandasamy, W. B. Vasantha
Volume:
Language: English
Subject: Non Fiction, General Works (Periodicals, Series, idexes, Almanacs, etc.)
Collections: Authors Community, Mathematics
Historic
Publication Date:
2014
Publisher: Educational Publisher
Member Page: Infinite Science

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B. Vasantha Kandasam, B. W., & Smarandache, F. (2014). Algebraic Structures on Real and Neutrosophic Semi Open Squares. Retrieved from http://gutenberg.cc/


Description
Here for the first time we introduce the semi open square using modulo integers. Authors introduce several algebraic structures on them. These squares under addition modulo ‘n’ is a group and however under product × this semi open square is only a semigroup as under × the square has infinite number of zero divisors. Apart from + and × we define min and max operation on this square. Under min and max operation this semi real open square is a semiring. We define the new type of ring call pseudo ring. Finally we define S-vector spaces and S-pseudo linear algebras using them. This concept will in due course of time find lots of applications. Several open problems are suggested for interested researchers.

 
 



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