Algebraic Structures on Real and Neutrosophic Semi Open Squares

By Kandasamy, W. B. Vasantha

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:	Mathematics, Authors Community
Historic Publication Date:	2014
Publisher:	Educational Publisher

Member Page:	Infinite Science
Citation APA MLA Chicago B. Vasantha Kandasam, B. W., & Smarandache, F. (2014). Algebraic Structures on Real and Neutrosophic Semi Open Squares. Retrieved from http://www.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.