## Mathematics and Statistics Faculty and Staff Publications

#### Document Type

Book

#### Publication Date

2011

#### Abstract

In this book for the first time the authors introduce the notion of real neutrosophic complex numbers. Further the new notion of finite complex modulo integers is defined. For every C(Zn) the complex modulo integer iF is such that 2 Fi = n – 1. Several algebraic structures on C(Zn) are introduced and studied. Further the notion of complex neutrosophic modulo integers is introduced. Vector spaces and linear algebras are constructed using these neutrosophic complex modulo integers. This book is organized into 5 chapters. The first chapter introduces real neutrosophic complex numbers. Chapter two introduces the notion of finite complex numbers; algebraic structures like groups, rings etc are defined using them. Matrices and polynomials are constructed using these finite complex numbers.

#### Publisher

Zip Publishing, Ohio

#### ISSN

978-1-59973-158-2

#### Language (ISO)

English

#### Keywords

complex numbers, neutrosophic complex numbers, neutrosophic logic

#### Recommended Citation

W.B. Vasantha Kandasamy & F. Smarandache. FINITE NEUTROSOPHIC COMPLEX NUMBERS. Ohio: Zip Publishing, 2011.

#### Creative Commons License

This work is licensed under a Creative Commons Attribution-Share Alike 4.0 License.

#### Included in

Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Logic and Foundations Commons, Number Theory Commons, Other Mathematics Commons