Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2014
Abstract
In this book we define some new notions of soft neutrosophic algebraic structures over neutrosophic algebraic structures. We define some different soft neutrosophic algebraic structures but the main motivation is two-fold. Firstly the classes of soft neutrosophic group ring and soft neutrosophic semigroup ring defined in this book is basically the generalization of two classes of rings: neutrosophic group rings and neutrosophic semigroup rings. These soft neutrosophic group rings and soft neutrosophic semigroup rings are defined over neutrosophic group rings and neutrosophic semigroup rings respectively. This is basically the collection of parameterized subneutrosophic group ring and subneutrosophic semigroup ring of a neutrosophic group ring and neutrosophic semigroup ring respectively. These soft neutrosophic algebraic structures are even bigger than the corresponding classical algebraic structures. It is interesting to see that it wider the area of research for the researcher of algebraic structures.
Publisher
EuropaNova ASBL, Brussels
ISSN
978-1-59973-306-7
Language (ISO)
English
Keywords
soft neutrosophic algebraic structures, neutrosophic algebraic structures
Recommended Citation
Mumtaz Ali, F. Smarandache, Muhammad Shabir. SOFT NEUTROSOPHIC ALGEBRAIC STRUCTURES AND THEIR GENERALIZATION - Vol. 2. Brussels: EuropaNova ASBL, 2014.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Included in
Algebra Commons, Algebraic Geometry Commons, Logic and Foundations Commons, Other Mathematics Commons, Set Theory Commons