Topological Rings PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Topological Rings PDF full book. Access full book title Topological Rings by S. Warner. Download full books in PDF and EPUB format.

Topological Rings

Topological Rings PDF Author: S. Warner
Publisher: Elsevier
ISBN: 0080872891
Category : Mathematics
Languages : en
Pages : 509

Book Description
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included.The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.

Topological Rings

Topological Rings PDF Author: S. Warner
Publisher: Elsevier
ISBN: 0080872891
Category : Mathematics
Languages : en
Pages : 509

Book Description
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included.The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.

Topological Rings Satisfying Compactness Conditions

Topological Rings Satisfying Compactness Conditions PDF Author: M. Ursul
Publisher: Springer Science & Business Media
ISBN: 9401002495
Category : Mathematics
Languages : en
Pages : 335

Book Description
Introduction In the last few years a few monographs dedicated to the theory of topolog ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM]. Ring theory can be viewed as a particular case of Z-algebras. Many general results true for rings can be extended to algebras over commutative rings. In topological algebra the structure theory for two classes of topological algebras is well developed: Banach algebras; and locally compact rings. The theory of Banach algebras uses results of Banach spaces, and the theory of locally compact rings uses the theory of LCA groups. As far as the author knows, the first papers on the theory of locally compact rings were [Pontr1]' [J1], [J2], [JT], [An], lOt], [K1]' [K2]' [K3], [K4], [K5], [K6]. Later two papers, [GS1,GS2]appeared, which contain many results concerning locally compact rings. This book can be used in two w.ays. It contains all necessary elementary results from the theory of topological groups and rings. In order to read these parts of the book the reader needs to know only elementary facts from the theories of groups, rings, modules, topology. The book consists of two parts.

Introduction to the Theory of Topological Rings and Modules

Introduction to the Theory of Topological Rings and Modules PDF Author: V. Arnautov
Publisher: CRC Press
ISBN: 9780824793234
Category : Mathematics
Languages : en
Pages : 584

Book Description
Provides a thorough introduction to the theory of topological rings and modules--focusing on problems of topologization and extensions of ring topologies.

Topological Groups

Topological Groups PDF Author: R.V. Gamkrelidze
Publisher: Routledge
ISBN: 1351407929
Category : Mathematics
Languages : en
Pages : 204

Book Description
Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.

Topological Groups and the Pontryagin-van Kampen Duality

Topological Groups and the Pontryagin-van Kampen Duality PDF Author: Lydia Außenhofer
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110654938
Category : Mathematics
Languages : en
Pages : 392

Book Description
This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are treated in separate chapters and in the appendix.

Elementary Concepts of Topology

Elementary Concepts of Topology PDF Author: Paul Alexandroff
Publisher: Courier Corporation
ISBN: 0486155064
Category : Mathematics
Languages : en
Pages : 68

Book Description
Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.

Topological Groups and Related Structures

Topological Groups and Related Structures PDF Author: A. V. Arkhangelʹskiĭ
Publisher: atlantis press
ISBN: 9078677066
Category : Mathematics
Languages : en
Pages : 797

Book Description
This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks.The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short -- almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area.

General Topology

General Topology PDF Author: N. Bourbaki
Publisher: Springer Science & Business Media
ISBN: 3642617018
Category : Mathematics
Languages : en
Pages : 443

Book Description
This is the softcover reprint of the 1971 English translation of the first four chapters of Bourbaki’s Topologie Generale. It gives all basics of the subject, starting from definitions. Important classes of topological spaces are studied, and uniform structures are introduced and applied to topological groups. In addition, real numbers are constructed and their properties established.

Topological Fields

Topological Fields PDF Author: S. Warner
Publisher: Elsevier
ISBN: 0080872689
Category : Mathematics
Languages : en
Pages : 579

Book Description
Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields).The reader is given enough background to tackle the current literature without undue additional preparation. Many results not in the text (and many illustrations by example of theorems in the text) are included among the exercises. Sufficient hints for the solution of the exercises are offered so that solving them does not become a major research effort for the reader. A comprehensive bibliography completes the volume.

Topology and Its Applications

Topology and Its Applications PDF Author: Sergeĭ Petrovich Novikov
Publisher: American Mathematical Soc.
ISBN: 9780821831519
Category : Mathematics
Languages : en
Pages : 266

Book Description
The Proceedings of an international topology conference - this book covrs various aspects of general algebraic, and low-dimensional topology.