Algebraic Structures Using Natural Class of Intervals

Algebraic Structures Using Natural Class of Intervals PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731355
Category : Mathematics
Languages : en
Pages : 172

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Book Description

Algebraic Structures Using Natural Class of Intervals

Algebraic Structures Using Natural Class of Intervals PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731355
Category : Mathematics
Languages : en
Pages : 172

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Book Description


Algebraic Structures Using Super Inter Interval Matrices

Algebraic Structures Using Super Inter Interval Matrices PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731533
Category : Mathematics
Languages : en
Pages : 289

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Book Description


Interval Linear Algebra

Interval Linear Algebra PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731266
Category : Mathematics
Languages : en
Pages : 249

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Book Description
Interval Arithmetic, or Interval Mathematics, was developed in the 1950s and 1960s as an approach to rounding errors in mathematical computations. However, there was no methodical development of interval algebraic structures to this date.This book provides a systematic analysis of interval algebraic structures, viz. interval linear algebra, using intervals of the form [0, a].

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

Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n)) PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732920
Category : Mathematics
Languages : en
Pages : 237

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Book Description
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.

Interval Algebraic Bistructures

Interval Algebraic Bistructures PDF Author: W.B. Vasantha Kandansamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731401
Category :
Languages : en
Pages : 210

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Book Description


Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers

Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731797
Category : Algebra
Languages : en
Pages : 152

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Book Description
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.

Algebraic Structures Using Super Interval Matrices

Algebraic Structures Using Super Interval Matrices PDF Author: W. B. Vasantha Kandasamy
Publisher:
ISBN: 9781461914044
Category : Linear algebraic groups
Languages : en
Pages :

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Book Description


Algebraic Structures

Algebraic Structures PDF Author: George R. Kempf
Publisher: Springer Science & Business Media
ISBN: 3322802787
Category : Mathematics
Languages : en
Pages : 174

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Book Description
In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition - the basic operations of algebra - are studied. Essentially, no previous knowledge is required, it is only assumed as background that the reader has learned some linear algebra over the real numbers.Dieses Lehrbuch, verfasst von einem anerkannten amerikanischen Mathematiker, ist eine unkonventionelle Einführung in die Algebra. Es gibt vier grundlegende Strukturen in der Algebra: Gruppen, Ringe, Körper und Moduln. Das Buch behandelt die Theorie dieser Strukturen und beschreibt die Verknüpfungsregeln, die grundlegenden Operationen der Algebra. Die Darstellung ist elementar: es werden nur Kenntnisse der Linearen Algebra vorausgesetzt, weitere Fachkenntnisse sind nicht erforderlich.

Special Type of Topological Spaces Using [0, n)

Special Type of Topological Spaces Using [0, n) PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733331
Category : Algebras, Linear
Languages : en
Pages : 230

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Book Description
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.

Ordered Algebraic Structures

Ordered Algebraic Structures PDF Author: W. Charles Holland
Publisher: CRC Press
ISBN: 9789056993252
Category : Mathematics
Languages : en
Pages : 214

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Book Description
This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.