Interval Semigroups

Interval Semigroups PDF

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2011

Total Pages: 167

ISBN-13: 1599730979

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In this book for the first time the concept of interval semigroups using intervals of the form [0, a] is defined.Several types of interval semigroups are introduced and their properties are analyzed. A special feature of this book is the wide-range of examples and problems.

Neutrosophic Components Semigroups and Multiset Neutrosophic Components Semigroups

Neutrosophic Components Semigroups and Multiset Neutrosophic Components Semigroups PDF

Author: Vasantha W.B.

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Neutrosophic components (NC) under addition and product form different algebraic structures over different intervals. In this paper authors for the first time define the usual product and sum operations on NC. Here four different NC are defined using the four different intervals: (0, 1), [0, 1), (0, 1] and [0, 1].

The Analytical and Topological Theory of Semigroups

The Analytical and Topological Theory of Semigroups PDF

Author: Karl H. Hofmann

Publisher: Walter de Gruyter

Published: 2011-05-03

Total Pages: 413

ISBN-13: 3110856042

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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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

Published: 2014-09-16

Total Pages: 237

ISBN-13: 1599732920

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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.

Algebraic Geometry Modeling in Information Theory

Algebraic Geometry Modeling in Information Theory PDF

Author: Edgar Martinez-Moro

Publisher: World Scientific

Published: 2013

Total Pages: 334

ISBN-13: 9814335762

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Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.