Advances in algebra and combinatorics / editors, K.P. Shum ... [et al.].

Format:

Book

Conference/Event

Author/Creator:

International Congress in Algebra and Combinatorics, Corporate Author.

Contributor:

Shum, K. P.

Conference Name:

International Congress in Algebra and Combinatorics (2nd : 2007 : Guangzhou, China)

International Congress in Algebra and Combinatorics

Language:

English

Subjects (All):

Algebra--Congresses.

Algebra.

Combinatorial analysis--Congresses.

Combinatorial analysis.

Physical Description:

1 online resource (384 p.)

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2008.

Language Note:

English

Summary:

This volume is a compilation of lectures on algebras and combinatorics presented at the Second International Congress in Algebra and Combinatorics. It reports on not only new results, but also on open problems in the field. The proceedings volume is useful for graduate students and researchers in algebras and combinatorics. Contributors include eminent figures such as V Artamanov, L Bokut, J Fountain, P Hilton, M Jambu, P Kolesnikov, Li Wei and K Ueno.

Contents:

Preface; Contents; Hyperidentities in the Class (x(yz) ) = ((z(yy))z) Graph Algebras of Type (2,0) A. Anantpinitwatna and T. Poomsa-Ard; 1. Introduction; 2. (x(Yz)) = ((z(yy))z) graph algebras; 3. Identities in (x(yz)) = ((z(yy))z) graph algebras; 4. The (x(yz)) = ((z(yy))z) class; 5. Hyperidentities in the class (x(yz)) = ((z(yy))r) graph algebras; References; Quantum Polynomials V. A. Artamonov; 1. Introduction; 2. Valuations; 3. Completions of quantum fields; 4. Projective module, elementary matrices and Morit a-equivalence; 5. Automorphisms of generic quantum polynomials

6. Commutative subalgebras7. Actions of Hopf algebras; 8. Actions of pointed finite dimensional Hopf algebras; 9. Poisson structures; References; Grobner-Shirshov Bases: Some New Results L. A. Bokut and Y. Q. Chen; 1. Introduction; 2. CD-lemma for associative algebras; 3. New CD-lemmas; 3.1. CD-Lemma and HNN-extensions; 3.2. Dialgebreas; 3.3. Free I?-algebras k(X; I'); 3.4. Tensor product of free algebras; 4. Application of known CD-Lemmas; 4.1. Schreier extensions of groups; 4.2. Extensions of algebras; 4.3. Anti-commutative algebras; 4.4. Akivis algebras; 4.5. Some one-relator groups

4.6. The Chinese monoid4.7. Marlcov and Artin normal form theorem for braid groups; 5. Expository papers; 5.1. Grobner and Grobner-Shirshov bases: an elementary approach; 5.2. Shirshov's CD-lemma for Lie algebras; 5.3. CD-lemma for modules; References; Isomorphisms and Derivations of Algebras S. H. Choi and K.-B. Nam; 1. Introduction; 2. Preliminaries; 3. Simplicities; 4. Derivations of the algebras WNn,o,,l and WNn,n,Ol; References; Semigroup Properties of Cooperations on Finite Sets K. Denecke and K. Saengsura; 1. Introduction; 2. Idempotent and Regular Elements

3. Bands of n-ary Cooperations4. Green's relations L and R; References; Algebras Derived by Surjective Hypersubstitutions K. Denecke and R. Srithus; 1. Preliminaries; 2. Term Operations of Derived Algebras; 3. Surjective Hypersubstitutions of Type T; 4. i-closed Varieties; References; Continuous Coalgebra Endomorphisms of Some Complete Ultrametric Hopf Algebras B. Diarra; 1. Introduction; 2. Weak*-continuous linear operators; 3. Two examples of padic Hopf algebras; 3.1. The divided powers Banach coalgebra of the p-adic continuous functions on Z,

3.2. The Hopf algebra C(Vq,K) for K of residue characteristic p3.2.1. Substitution in M(V,, K ) .; 3.2.2. The coalgebra endomorphisms of C(Vq, K ).; References; O*-Pairs and the Structure of Finite Groups H. H. Feng and X . Y. Guo 119; 1. Introduction; 2. Preliminaries; 3. Main results; References; Stability of the Theory of Existentially Closed S-Acts over a Right Coherent Monoid S J. Fountain and V. Gould; 1. Introduction; 2. Preliminaries; 3. Types; 4. U-rank and superstability of TS; 5. Total transcendence of Ts; References

Paper-Folding, Polygons, Complete Symbols, and the Euler Totient Function: An Ongoing Saga Connecting Geometry, Algebra, and Number Theory P. Hilton, J. Pedersen and B. Walden

Notes:

"Proceedings of the Second International Congress in Algebra and Combinatorics, Guangzhou, China 2-4 July 2007, Beijing, China 6-11 July 2007, Xian, China 12-15 July 2007."

Includes bibliographical references.

ISBN:

9786611938239

9781281938237

1281938238

9789812790019

9812790012