E-grāmata: Advances in Algebra and Model Theory

This book contains 25 surveys and research on algebra and model theory, written by leading international experts in the field. The surveys are based around talks given at conferences held in Essen (1994) and Dresden (1995). Each author has written their contribution in such a way as to highlight ideas discussed at the conferences, and to stimulate open research problems in a form accessible to the whole mathematical community.
Mathematicians and computer scientists working on algebra and logic will find this book an excellent survey and reference volume. It will also be a valuable supplementary text for students researching this exciting area of mathematics.

The 25 survey and research papers highlight the authors' own ideas in a form accessible to the whole community of mathematicians and computer scientists working on algebra and logic. Among the topics are field and ring theory, groups, ordered algebraic structures and their relationships to model theory, infinite permutation groups, abelian groups, modules and their relatives and representations, symmetry questions, and automorphism groups of orders. Aspects of model theory considered include quantifier elimination in skew fields, Hilberts' 17th problem, and Boolean algebras. Annotation c. by Book News, Inc., Portland, Or.

Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered.

This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.