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New Research on Neutrosophic Algebraic Structures

By Ali, Mumtaz

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Book Id: WPLBN0100303074
Format Type: PDF (eBook)
File Size: 3.37 MB.
Reproduction Date: 10/6/2014

Title: New Research on Neutrosophic Algebraic Structures  
Author: Ali, Mumtaz
Volume:
Language: English
Subject: Non Fiction, Science
Collections: Mathematics, Authors Community
Historic
Publication Date:
2014
Publisher: Educational Publisher

Citation

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Ali, M., & Smarandache, F. (2014). New Research on Neutrosophic Algebraic Structures. Retrieved from http://www.gutenberg.cc/


Description
In this book, the authors define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. The authors also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element “I“ gives rise to a bigger algebraic structure than the classical algebraic structures. It mainly classifies the algebraic structures in three categories such as: neutrosophic algebraic structures, strong neutrosophic algebraic structures, and classical algebraic structures respectively. This reveals the fact that a classic algebraic structure is a part of the neutrosophic algebraic structures. This opens a new way for the researcher to think in a broader way to visualize these vast neutrosophic algebraic structures.

 

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