Narrow your search
Listing 1 - 10 of 13 << page
of 2
>>
Sort by
Algebras, rings and modules.
Authors: --- ---
ISBN: 128019068X 9786610190683 1402026919 1402026900 Year: 2004 Publisher: Dordrecht ; London : Kluwer Academic Publishers,

Loading...
Export citation

Choose an application

Bookmark

Abstract

The text of the first volume of the book covers the major topics in ring and module theory and includes both fundamental classical results and more recent developments. The basic tools of investigation are methods from the theory of modules, which allow a very simple and clear approach both to classical and new results. An unusual main feature of this book is the use of the technique of quivers for studying the structure of rings. A considerable part of the first volume of the book is devoted to a study of special classes of rings and algebras, such as serial rings, hereditary rings, semidistr


Book
Turner and romantic nature (exhibition Copenhagen, Statens Museum for Kunst, 04.09.2004 - 09.01.2005)
Authors: --- --- ---
ISBN: 8790096754 Year: 2004 Publisher: Copenhagen Statens Museum for Kunst

Loading...
Export citation

Choose an application

Bookmark

Abstract

Rings, modules, algebras and abelian groups
Authors: --- ---
ISBN: 042916436X 0824750810 9780824750817 0824748077 9780824748074 9780429164361 Year: 2004 Publisher: New York

Loading...
Export citation

Choose an application

Bookmark

Abstract

Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, commutative rings, module and ring theory, and topological algebraic structures-providing more than 600 current references and 570 display equations for further exploration of the topic.

Equivalence and duality for module categories
Authors: ---
ISBN: 9780511546518 9780521838214 0511188005 9780511188008 0521838215 0511185316 9780511185311 0511186142 9780511186141 0511546513 9780511187070 0511187076 9786610458332 6610458332 1107150574 128045833X 0511313942 Year: 2004 Publisher: Cambridge, UK New York Cambridge University Press

Loading...
Export citation

Choose an application

Bookmark

Abstract

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.

Integers, Polynomials, and Rings : A Course in Algebra
Author:
ISBN: 1280188421 9786610188420 0387218319 0387403973 Year: 2004 Publisher: New York, NY : Springer New York : Imprint: Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

Mathematics is often regarded as the study of calculation, but in fact, mathematics is much more. It combines creativity and logic in order to arrive at abstract truths. This book is intended to illustrate how calculation, creativity, and logic can be combined to solve a range of problems in algebra. Originally conceived as a text for a course for future secondary-school mathematics teachers, this book has developed into one that could serve well in an undergraduate course in abstract algebra or a course designed as an introduction to higher mathematics. Not all topics in a traditional algebra course are covered. Rather, the author focuses on integers, polynomials, their ring structure, and fields, with the aim that students master a small number of serious mathematical ideas. The topics studied should be of interest to all mathematics students and are especially appropriate for future teachers. One nonstandard feature of the book is the small number of theorems for which full proofs are given. Many proofs are left as exercises, and for almost every such exercise a detailed hint or outline of the proof is provided. These exercises form the heart of the text. Unwinding the meaning of the hint or outline can be a significant challenge, and the unwinding process serves as the catalyst for learning. Ron Irving is the Divisional Dean of Natural Sciences at the University of Washington. Prior to assuming this position, he served as Chair of the Department of Mathematics. He has published research articles in several areas of algebra, including ring theory and the representation theory of Lie groups and Lie algebras. In 2001, he received the University of Washington's Distinguished Teaching Award for the course on which this book is based.

Rings, modules, and the total
Authors: ---
ISBN: 3764371250 9783764371258 3764378018 Year: 2004 Publisher: Basel Birkhäuser

Loading...
Export citation

Choose an application

Bookmark

Abstract

In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of "partially invertible homomorphisms”, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The "total” consists of all elements that are not partially invertible. The total contains the radical and the singular and cosingular submodules, but while the total is closed under right and left multiplication, it may not be closed under addition. Cases are discussed where the total is additively closed. The total is particularly suited to deal with the endomorphism ring of the direct sum of modules that all have local endomorphism rings and is applied in this case. Further applications are given for torsion-free Abelian groups.


Book
Studies in Literature
Author:
ISBN: 0665854315 Year: 2004 Publisher: Project Gutenberg

Loading...
Export citation

Choose an application

Bookmark

Abstract

Structured ring spectra
Authors: ---
ISBN: 0521603056 9780521603058 9780511529955 9781107362635 1107362636 0511529953 9781107367548 1107367549 1139882368 9781139882361 1107372100 9781107372108 1107368847 9781107368842 1299405169 9781299405165 1107365082 9781107365087 Year: 2004 Volume: 315 Publisher: Cambridge Cambridge University Press

Loading...
Export citation

Choose an application

Bookmark

Abstract

Within algebraic topology, the prominent role of multiplicative cohomology theories has led to a great deal of foundational research on ring spectra and in the 1990s this gave rise to significant new approaches to constructing categories of spectra and ring-like objects in them. This book contains some important new contributions to the theory of structured ring spectra as well as survey papers describing these and relationships between them. One important aspect is the study of strict multiplicative structures on spectra and the development of obstruction theories to imposing strictly associative and commutative ring structures on spectra. A different topic is the transfer of classical algebraic methods and ideas, such as Morita theory, to the world of stable homotopy.

Gröbner bases and the computation of group cohomology.
Author:
ISSN: 00758434 ISBN: 3540203397 3540396802 9783540203391 Year: 2004 Volume: 1828 Publisher: Berlin Springer

Loading...
Export citation

Choose an application

Bookmark

Abstract

This monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson’s minimal resolutions approach to cohomology computations.

Methods of graded rings
Authors: ---
ISBN: 3540207465 354040998X 9783540207467 Year: 2004 Publisher: Berlin ; New York : Springer,

Loading...
Export citation

Choose an application

Bookmark

Abstract

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.

Listing 1 - 10 of 13 << page
of 2
>>
Sort by