Algebraic Structures On Finite Complex Modulo Integer Interval C 0 N

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

Author: W. B. Vasantha Kandasamy
language: en
Publisher: Infinite Study
Release Date: 2014-09-16
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.
Special Type of Topological Spaces Using [0, n)

Author: W. B. Vasantha Kandasamy
language: en
Publisher: Infinite Study
Release Date: 2015-02-15
In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.
Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers

Author: W. B. Vasantha Kandasamy, Florentin Smarandache
language: en
Publisher: Infinite Study
Release Date: 2012
In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.