Proceedings of the International Conference on Algebra 2010
Proceedings of the International Conference on Algebra 2010

Author: Wanida Hemakul

Publisher: World Scientific

Published: 2012

Total Pages: 755

ISBN-13: 9814366307

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This volume is an outcome of the International Conference on Algebra in celebration of the 70th birthday of Professor Shum Kar-Ping which was held in Gadjah Mada University on 7?10 October 2010. As a consequence of the wide coverage of his research interest and work, it presents 54 research papers, all original and referred, describing the latest research and development, and addressing a variety of issues and methods in semigroups, groups, rings and modules, lattices and Hopf Algebra. The book also provides five well-written expository survey articles which feature the structure of finite groups by A Ballester-Bolinches, R Esteban-Romero, and Yangming Li; new results of Gr”bner-Shirshov basis by L A Bokut, Yuqun Chen, and K P Shum; polygroups and their properties by B Davvaz; main results on abstract characterizations of algebras of n-place functions obtained in the last 40 years by Wieslaw A Dudek and Valentin S Trokhimenko; Inverse semigroups and their generalizations by X M Ren and K P Shum. Recent work on cones of metrics and combinatorics done by M M Deza et al. is included.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol.4, 2016
MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol.4, 2016

Author: L. Mao

Publisher: Infinite Study

Published:

Total Pages: 179

ISBN-13: 1599735067

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In this issue, there are 18 published papers: Paper 1: Smarandache Curves Paper 2: Pseudo Neighbourly Irregular Intuitionistic Fuzzy Graphs Paper 3: Knot polynomials, Alexander polynomial Paper 4: Smarandache Curves Paper 5: Dually Flat Special Finsler Metrics Paper 6: Lft-commutative algebras Paper 7: Finsler space with (α, β)-metric Paper 8: Nonsplit Roman Domination Paper 9: Cayley Graphs of Non-Abelian Groups Paper 10: Fuzzy Semirings Paper 11: Wiener Indices Paper 12: Projective dimension, Betti number Paper 13: k-Metric Dimension of a Graph Paper 14: Radial Signed Graphs Paper 15: Geodesic Irredundant Sets Paper 16: Directed Pathos Block Line Cut-Vertex Digraph Paper 17: Spherical chain Paper 18: Neighborhood prime labeling

International Journal of Mathematical Combinatorics, Volume 4, 2016
International Journal of Mathematical Combinatorics, Volume 4, 2016

Author: Linfan Mao

Publisher: Infinite Study

Published:

Total Pages: 179

ISBN-13:

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The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra
Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra

Author: Leonid Bokut

Publisher: World Scientific

Published: 2020-06-16

Total Pages: 308

ISBN-13: 9814619507

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The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac-Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple Lie algebra theory, the plactic monoid theory. One of the main problems for such presentations is the problem of normal forms of their elements. Classical examples of such normal forms give the Poincaré-Birkhoff-Witt theorem for universal enveloping algebras and Artin-Markov normal form theorem for braid groups in Burau generators.What is now called Gröbner-Shirshov bases theory is a general approach to the problem. It was created by a Russian mathematician A I Shirshov (1921-1981) for Lie algebras (explicitly) and associative algebras (implicitly) in 1962. A few years later, H Hironaka created a theory of standard bases for topological commutative algebra and B Buchberger initiated this kind of theory for commutative algebras, the Gröbner basis theory. The Shirshov paper was largely unknown outside Russia. The book covers this gap in the modern mathematical literature. Now Gröbner-Shirshov bases method has many applications both for classical algebraic structures (associative, Lie algebra, groups, semigroups) and new structures (dialgebra, pre-Lie algebra, Rota-Baxter algebra, operads). This is a general and powerful method in algebra.

Operads And Universal Algebra - Proceedings Of The International Conference
Operads And Universal Algebra - Proceedings Of The International Conference

Author: Chengming Bai

Publisher: World Scientific

Published: 2012-02-23

Total Pages: 318

ISBN-13: 9814458333

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The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.

Overview and Autobiographical Essays
Overview and Autobiographical Essays

Author: Gerry Stahl

Publisher: Lulu.com

Published: 2016-01-27

Total Pages: 210

ISBN-13: 1329861590

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The current volume is intended to provide an overview of the eLibrary and some documentation of my life as the author of these texts.

Public Affairs and Administration: Concepts, Methodologies, Tools, and Applications
Public Affairs and Administration: Concepts, Methodologies, Tools, and Applications

Author: Management Association, Information Resources

Publisher: IGI Global

Published: 2015-05-31

Total Pages: 2348

ISBN-13: 1466683597

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Effective administration of government and governmental organizations is a crucial part of achieving success in those organizations. To develop and implement best practices, policymakers and leaders must first understand the fundamental tenants and recent advances in public administration. Public Affairs and Administration: Concepts, Methodologies, Tools, and Applications explores the concept of governmental management, public policy, and politics at all levels of organizational governance. With chapters on topics ranging from privacy and surveillance to the impact of new media on political participation, this multi-volume reference work is an important resource for policymakers, government officials, and academicians and students of political science.

Commutative Algebra and Noncommutative Algebraic Geometry
Commutative Algebra and Noncommutative Algebraic Geometry

Author: David Eisenbud

Publisher: Cambridge University Press

Published: 2015-11-19

Total Pages: 463

ISBN-13: 1107065623

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This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

Foundations of Geometric Algebra Computing
Foundations of Geometric Algebra Computing

Author: Dietmar Hildenbrand

Publisher: Springer Science & Business Media

Published: 2012-12-31

Total Pages: 217

ISBN-13: 3642317944

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The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.

Handbook of Research on Politics in the Computer Age
Handbook of Research on Politics in the Computer Age

Author: Solo, Ashu M. G.

Publisher: IGI Global

Published: 2019-08-30

Total Pages: 456

ISBN-13: 1799803783

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Technology and particularly the Internet have caused many changes in the realm of politics. Aspects of engineering, computer science, mathematics, or natural science can be applied to politics. Politicians and candidates use their own websites and social network profiles to get their message out. Revolutions in many countries in the Middle East and North Africa have started in large part due to social networking websites such as Facebook and Twitter. Social networking has also played a role in protests and riots in numerous countries. The mainstream media no longer has a monopoly on political commentary as anybody can set up a blog or post a video online. Now, political activists can network together online. The Handbook of Research on Politics in the Computer Age is a pivotal reference source that serves to increase the understanding of methods for politics in the computer age, the effectiveness of these methods, and tools for analyzing these methods. The book includes research chapters on different aspects of politics with information technology, engineering, computer science, or math, from 27 researchers at 20 universities and research organizations in Belgium, Brazil, Cape Verde, Egypt, Finland, France, Hungary, Italy, Mexico, Nigeria, Norway, Portugal, and the United States of America. Highlighting topics such as online campaigning and fake news, the prospective audience includes, but is not limited to, researchers, political and public policy analysts, political scientists, engineers, computer scientists, political campaign managers and staff, politicians and their staff, political operatives, professors, students, and individuals working in the fields of politics, e-politics, e-government, new media and communication studies, and Internet marketing.