Introduction To Linear Bialgebra
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Introduction To Linear Bialgebra
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Author : Vasantha Kandasamy W B Ilanthenral K Smarandache Florentin
language : en
Publisher:
Release Date : 2014-05-14
Introduction To Linear Bialgebra written by Vasantha Kandasamy W B Ilanthenral K Smarandache Florentin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Introduction To Linear Bialgebra
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2005
Introduction To Linear Bialgebra written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
In the modern age of development, it has become essential for any algebraic structure to enjoy greater acceptance and research significance only when it has extensive applications to other fields.This new algebraic concept, Linear Bialgebra, is one that will find applications to several fields like bigraphs, algebraic coding/communication theory (bicodes, best biapproximations), Markov bichains, Markov bioprocess and Leonief Economic bimodels: these are also brought out in this book.Here, the linear bialgebraic structure is given sub-bistructures and super-structures called the smarandache neutrosophic linear bialgebra which will easily yield itself to the above applications.
Neutrosophic Bilinear Algebras And Their Generalizations
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2010
Neutrosophic Bilinear Algebras And Their Generalizations written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This book introduces over one hundred new concepts related to neutrosophic bilinear algebras and their generalizations. Illustrated by more than 225 examples, these innovative new notions find applications in various fields.
Introduction To The Quantum Yang Baxter Equation And Quantum Groups An Algebraic Approach
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Author : L.A. Lambe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Introduction To The Quantum Yang Baxter Equation And Quantum Groups An Algebraic Approach written by L.A. Lambe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Mathematics categories.
Chapter 1 The algebraic prerequisites for the book are covered here and in the appendix. This chapter should be used as reference material and should be consulted as needed. A systematic treatment of algebras, coalgebras, bialgebras, Hopf algebras, and represen tations of these objects to the extent needed for the book is given. The material here not specifically cited can be found for the most part in [Sweedler, 1969] in one form or another, with a few exceptions. A great deal of emphasis is placed on the coalgebra which is the dual of n x n matrices over a field. This is the most basic example of a coalgebra for our purposes and is at the heart of most algebraic constructions described in this book. We have found pointed bialgebras useful in connection with solving the quantum Yang-Baxter equation. For this reason we develop their theory in some detail. The class of examples described in Chapter 6 in connection with the quantum double consists of pointed Hopf algebras. We note the quantized enveloping algebras described Hopf algebras. Thus for many reasons pointed bialgebras are elsewhere are pointed of fundamental interest in the study of the quantum Yang-Baxter equation and objects quantum groups.
International Journal Of Mathematical Combinatorics Volume 4 2009
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :
International Journal Of Mathematical Combinatorics Volume 4 2009 written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Combinatorial designs; Combinatorial enumeration; Other applications of Smarandache multi-space and combinatorics.
Mathematical Combinatorics Vol 4 2009
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :
Mathematical Combinatorics Vol 4 2009 written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Papers on Smarandachely Bondage Number of a Graph, Domination Number in 4-Regular Graphs, On Smarandachely Harmonic Graphs, Independent Complementary Distance Pattern Uniform Graphs, Efficient Domination in Bi-Cayley Graphs, and other topics. Contributors: D.D. Somashekara, C.R. Veena, Aysun Aytac, Elgin Kilic, Agboola A.A.A., D Akinola L.S., K. R. Vasuki, G. Sharath, E. Sampathkumar, P. Siva Kota Reddy, M.S. Subramanya, Liangxia Wan, Hongjian Lai, Yanpei Liu, and others
Coxeter Bialgebras
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Author : Marcelo Aguiar
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-17
Coxeter Bialgebras written by Marcelo Aguiar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-17 with Mathematics categories.
The goal of this monograph is to develop Hopf theory in the setting of a real reflection arrangement. The central notion is that of a Coxeter bialgebra which generalizes the classical notion of a connected graded Hopf algebra. The authors also introduce the more structured notion of a Coxeter bimonoid and connect the two notions via a family of functors called Fock functors. These generalize similar functors connecting Hopf monoids in the category of Joyal species and connected graded Hopf algebras. This monograph opens a new chapter in Coxeter theory as well as in Hopf theory, connecting the two. It also relates fruitfully to many other areas of mathematics such as discrete geometry, semigroup theory, associative algebras, algebraic Lie theory, operads, and category theory. It is carefully written, with effective use of tables, diagrams, pictures, and summaries. It will be of interest to students and researchers alike.
Superbimatrices And Their Generalizations
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2009
Superbimatrices And Their Generalizations written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
In this book the authors introduce the notion of superbimatrices and generalize it to that of supertrimatrices, and super n-matrices. A study of these innovative structures is best-suited to our times since superbimatrices find their applications in Fuzzy Models, Leontief Economics Model, and computer data storage.
The Encyclopedia Of Neutrosophic Researchers 1st Volume
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2016-11-12
The Encyclopedia Of Neutrosophic Researchers 1st Volume written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-12 with Mathematics categories.
This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.
Smarandache Chinese
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Author : Yuan Yi
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Smarandache Chinese written by Yuan Yi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
This book is a collection of papers and definitions in Chinese language related to Smarandache n-structures, generalized palindromes, functions, sequences, numbers, neutrosophic logic/set/probability/statistics, Smarandache geometries, etc.