**Contemporary Mathematics**

Volume: 264;
2000;
305 pp;
Softcover

MSC: Primary 05; 08; 12; 13; 14; 17; 20; 26; 68; 94;

Print ISBN: 978-0-8218-1984-5

Product Code: CONM/264

List Price: $92.00

Individual Member Price: $73.60

**Electronic ISBN: 978-0-8218-7854-5
Product Code: CONM/264.E**

List Price: $92.00

Individual Member Price: $73.60

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# Combinatorial and Computational Algebra

Share this page *Edited by *
*Kai Yuen Chan; Alexander A. Mikhalev; Man-Keung Siu; Jie-Tai Yu; Efim I. Zelmanov*

This volume presents articles based on the talks at the International
Conference on Combinatorial and Computational Algebra held at the University of
Hong Kong (China). The conference was part of the Algebra Program at the
Institute of Mathematical Research and the Mathematics Department at the
University of Hong Kong. Topics include recent developments in the following
areas: combinatorial and computational aspects of group theory, combinatorial
and computational aspects of associative and nonassociative algebras,
automorphisms of polynomial algebras and the Jacobian conjecture, and
combinatorics and coding theory.

This volume can serve as a solid introductory guide for advanced graduate
students, as well as a rich and up-to-date reference source for contemporary
researchers in the field.

#### Readership

Graduate students and research mathematicians interested in algebra and combinatorics.

# Table of Contents

## Combinatorial and Computational Algebra

- Contents vii8 free
- Preface ix10 free
- Part I. Combinatorial and Computational Aspects of Group Theory 112 free
- Part II. Combinatorial and Computational Aspects of Associative and Nonassociative Algebras 6172
- Gröbner-Shirshov bases and composition lemma for associative conformal algebras: An example 6374
- Derivations in near-ring theory 91102
- Automorphic orbits of elements of free algebras with the Nielsen-Schreier property 95106
- Universal central extensions of the matrix Lie superalgebras sl(m, n, A) 111122
- The useful world of one-sided distributive systems 127138
- On the structure of conformal algebras 139150

- Part III. Automorphisms of Polynomial Algebras and the Jacobian Conjecture 155166
- Unipotent Jacobian matrices and univalent maps 157168
- Automorphisms and coordinates of polynomial algebras 179190
- On Bass' inverse degree approach to the Jacobian conjecture and exponential automorphisms 207218
- A note on possible counterexamples to the Abhyankar-Sathaye conjecture constructed by Shpilrain and Yu 215226
- Algorithms for polynomials in two variables 219230
- Peak reduction technique in commutative algebra: A survey 237248
- Reversion, trees, and the Jacobian conjecture 249260

- Part IV. Combinatorics and Coding Theory 269280