By Philipp Rothmaler
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, ...
By 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 ...
By A Mader
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 ...
Edited
By 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, ...
By Kazimierz Szymiczek
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 ...
By Russell Merris
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 ...
By Manfred Droste, Yuri Gurevich
September 10, 1993
By Robert Wisbauer
September 05, 1991
This handbook intends to provide an introduction to module theory and the related part of ring theory. Starting from a basic understanding of linear algebra the theory is presented with complete proofs....
By Christian. U Jensen, Helmt Lenzing
July 26, 1989
By P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin
July 14, 1989
This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and ...
