| Description |
1 online resource (xvii, 735 pages) : illustrations |
| Contents |
Conference Program.; Preface; Contents; A Short Biography of Professor Shum Kar-Ping. W. Hemakul, S. Wahyuni and P. W. Sy; Interval-Valued Bifuzzy Graphs M. Akram and K. H. Dar; 1 Introduction; 2 Preliminaries; 3 Interval-valued Bifuzzy Graphs; References; Injective Envelope Y. S. Anwar and 1. E. Wijayanti; Introduction; 1. Preliminaries; 1.1. The Category of u[M]; 1.2. Cogenerator; 1.3. Cocyclic Module; 2. Injective Envelope; 2.1. Essential Extensions; 2.2. Injective Envelope; Acknowledgment; References |
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Cover and Avoidance Properties and the Structure of Finite Groups A. Ballester-Bolinches, R. Esteban-Romero and Y.-M. Li1 Introduction; 2 Cover and avoidance property; 3 Partial cover and avoidance property; 4 Postscript; Acknowledgement; References; Semilattices of Archimedean Semigroups S. Bogdanovic, Z. Popovic and M. Ciric; 1. Introduction and preliminaries; 2. The main results; References; Some New Results on Gr6bner-Shirshov Bases L. A. Bokut, Y.-Q. Chen and K. P. Shum; 1 Introduction; 2 New CD-lemmas; 2.1 Lie algebras over a commutative algebra |
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2.2 Associative algebras with multiple operations2.3 Rota-Baxter algebras; 2.4 Right-symmetric (or pre-Lie) algebras; 2.5 L-algebras; 2.6 Differential algebras; 2.7 Non-associative algebras over a commutative algebra; 2.8 n-conformal algebras; 2.9 -differential associative algebras with multiple operators; 2.10 Categories; 2.11 Metabelian Lie algebras; 2.12 S-act algebras; 2.13 Operads; 3 Applications of known CD-lemmas; 3.1 Artin-Markov normal form for braid groups in Artin-Burau generators; 3.2 Braid groups in Artin-Garside generators; 3.3 Braid groups in Birman-Ko-Lee generators |
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3.4 Braid groups in Adyan-Thurston generators3.5 GSB and normal forms for free inverse semigroups; 3.6 Embeddings of algebras; 3.7 Word problem for Novikov's and Boone's group; 3.8 PBW basis of Uq(AN); 3.9 GSB for free dendriform algebras; 3.10 Anti-commutative GSB of a free Lie algebra relative to Lyndon-Shirshov words; 3.11 Free partially commutative groups, associative algebras and Lie algebras; 3.12 Plactic mono ids in row generators; 3.13 Plactic algebras in standard generators; 3.14 Filtrations and distortion in infinite-dimensional algebras |
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3.15 Sufficiency conditions for Bokut' normal forms3.16 Quantum groups of type G2 and D4; 3.17 An embedding of recursively presented Lie algebras; 3.18 GSB for some monoids; References; A Note on Some Properties of the Least Common Multiple of Conjugacy Class Sizes A. Camina and R. D. Camina; 1 Introduction; 2 Some groups with quasi-central primes; 3 Some positive results; 4 Concluding remarks; References; Quotients and Homomorphisms of Relational Systems I. Chajda and H. Langer; 1 Introduction; 2 Quotient relational systems; 3 Homomorphisms of relational systems |
| Summary |
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 gro |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Algebra -- Congresses
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Group theory -- Congresses
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MATHEMATICS -- Algebra -- Intermediate.
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Algebra
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Group theory
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Hemakul, Wanida
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Wahyuni, Sri
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Sy, P. W. (Polly Wee), 1953-
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Shum, K. P
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| ISBN |
9789814366311 |
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9814366315 |
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