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Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n))

W. B. Vasantha Kandasamy, Florentin Smarandache

2014

Abstract

In this book authors introduce the notion of finite complex modulo integer intervals. Finite complex modulo integers was introduced by the authors in 2011. Now using this finite complex modulo integer intervals several algebraic structures are built. Further the concept of finite complex modulo integers itself happens to be new and innovative for in case of finite complex modulo integers the square value of the finite complex number varies with varying n of Zn. In case of finite complex modulo integer intervals also we can have only pseudo ring as the distributive law is not true, in general in C([0, n)). Finally the concepts of pseudo vector spaces and pseudo linear algebras are introduced. At every stage the neutrosophic analogue is also defined, developed and described. There are several open problems suggested.

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