Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2012
Abstract
Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers. The Smarandache analogue is also carried out. We see the nonassociative complex modulo integers groupoids satisfy several special identities like Moufang identity, Bol identity, right alternative and left alternative identities. P-complex modulo integer groupoids and idempotent complex modulo integer groupoids are introduced and characterized. This book has six chapters. The first one is introductory in nature. Second chapter introduces complex modulo integer groupoids and complex modulo integer loops.
Publisher
Zip Publishing, Ohio
ISSN
978-1-59973-169-8
Language (ISO)
English
Keywords
non associative algebraic structures, neutrosophic logic
Recommended Citation
W.B. Vasantha Kandasamy & F. Smarandache. Non Associative Algebraic Structures Using Finite Complex Numbers. Ohio: Zip Publishing, 2012.
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, Analysis Commons, Logic and Foundations Commons, Number Theory Commons, Other Mathematics Commons
