Ordered Algebraic Structures
Introduction to Model Theory
Hyperidentities and Clones
Almost Completely Decomposable Groups
Distributive Modules and Related Topics
Advances in Algebra and Model Theory
Exercises in Algebra
Foundations of Module and Ring Theory
W. Charles Holland
April 01, 2001
October 31, 2000
Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect.This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit,...
Klaus Denecke, S L Wismath
August 08, 2000
Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional...
March 09, 2000
An almost completely decomposable abelian (acd) group is an extension of a finite direct sum of subgroups of the additive group of rational numbers by a finite abelian group. Examples are easy to write and are frequently used but have been notoriously difficult to study and classify because of...
August 19, 1999
A comprehensive introduction to the homological and structural methods of ring theory and related topics, this book includes original results as well as the most recent work in the field. It is unique in that it concentrates on distributive modules and rings, an area in which the author is...
M Droste, R. Gobel
January 29, 1998
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,...
September 05, 1997
Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms. Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the...
August 20, 1997
The prototypical multilinear operation is multiplication. Indeed, every multilinear mapping can be factored through a tensor product. Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group...
Alexandra I. Kostrikin
February 09, 1996
Manfred Droste, Yuri Gurevich
September 10, 1993
Christian. U Jensen, Helmt Lenzing
July 26, 1989