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Algebra, Logic and Applications


13 Series Titles

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Ordered Algebraic Structures

Ordered Algebraic Structures

1st Edition

W. Charles Holland
April 01, 2001

Introduction to Model Theory

Introduction to Model Theory

1st Edition

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,...

Hyperidentities and Clones

Hyperidentities and Clones

1st Edition

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...

Almost Completely Decomposable Groups

Almost Completely Decomposable Groups

1st Edition

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...

Distributive Modules and Related Topics

Distributive Modules and Related Topics

1st Edition

Askar Tuganbaev
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...

Advances in Algebra and Model Theory

Advances in Algebra and Model Theory

1st Edition

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,...

Bilinear Algebra: An Introduction to the Algebraic Theory of Quadratic Forms

Bilinear Algebra: An Introduction to the Algebraic Theory of Quadratic Forms

1st Edition

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...

Multilinear Algebra

Multilinear Algebra

1st Edition

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...

Exercises in Algebra

Exercises in Algebra

1st Edition

Alexandra I. Kostrikin
February 09, 1996

Semantics of Programming Languages and Model Theory

Semantics of Programming Languages and Model Theory

1st Edition

Manfred Droste, Yuri Gurevich
September 10, 1993

Foundations of Module and Ring Theory

Foundations of Module and Ring Theory

1st Edition

Robert Wisbauer
September 05, 1991

Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules

Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules

1st Edition

Christian. U Jensen, Helmt Lenzing
July 26, 1989

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