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Author: Sorin Dascalescu
Publisher: CRC Press
ISBN: 1482270749
Category : Mathematics
Languages : en
Pages : 420
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Book Description
This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.
Author: Sorin Dascalescu
Publisher: CRC Press
ISBN: 1482270749
Category : Mathematics
Languages : en
Pages : 420
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Book Description
This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 9185917141
Category : Mathematics
Languages : en
Pages : 404
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Book Description
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.
Author: Marcelo Aguiar
Publisher: Cambridge University Press
ISBN: 100924373X
Category : Mathematics
Languages : en
Pages : 897
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Book Description
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.
Author: David E Radford
Publisher: World Scientific
ISBN: 9814405108
Category : Mathematics
Languages : en
Pages : 584
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Book Description
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.
Author: Linfan Mao
Publisher: Infinite Study
ISBN: 1599731150
Category :
Languages : en
Pages : 117
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Book Description
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
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 9738520886
Category : Mathematics
Languages : en
Pages : 410
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Book Description
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.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730286
Category : Computers
Languages : en
Pages : 206
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Book Description
In this book, new classes of codes are introduced to help cryptologists and computer scientists.These codes will find application in networking and data storage.Further, these new classes of codes cannot be easily cracked by hackers, so they will be useful in defense departments.
Author: L.A. Lambe
Publisher: Springer Science & Business Media
ISBN: 1461541093
Category : Mathematics
Languages : en
Pages : 314
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Book Description
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.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599730790
Category : Computers
Languages : en
Pages : 169
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Book Description
This book provides, for the first time, a few classes of Set Codes, the most generalized class of algebraic codes.These codes are best-suited for their applications in cryptography, coding block truncation, image compression, computer networking and data storage.
Author: Linfan Mao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 117
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Book Description
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.
