Endomorphism Rings of Abelian Groups by P.A. Krylov (English) Paperback Book

Description: Endomorphism Rings of Abelian Groups by P.A. Krylov, Alexander V. Mikhalev, A.A. Tuganbaev Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. The theory of endomorphism rings can also be useful for studies of the structure of additive groups of rings, E-modules, and homological properties of Abelian groups. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This book is the first monograph on the theory of endomorphism rings of Abelian groups. The theory is a rapidly developing area of algebra and has its origin in the theory of operators of vector spaves. The text contains additional information on groups themselves, introducing new concepts, methods, and classes of groups. All the main fields of the theory of endomorphism rings of Abelian groups from early results to the most recent are covered. Neighbouring results on endomorphism rings of modules are also mentioned. Notes Springer Book Archives Author Biography Askar Tuganbaev received his Ph.D. at the Moscow State University in 1978 and has been a professor at Moscow Power Engineering Institute (Technological University) since 1978. He is the author of three other monographs on ring theory and has written numerous articles on ring theory. Table of Contents I. General Results on Endomorphism Rings.- II. Groups as Modules over Their Endomorphism Rings.- III. Ring Properties of Endomorphism Rings.- IV. The Jacobson Radical of the Endomorphism Ring.- V. Isomorphism and Realization Theorems.- VI. Hereditary Endomorphism Rings.- VII. Fully Transitive Groups.- References. Review From the reviews:"In this book, the variety of methods, the beauty of the results, and the appeal of the open problems provide ample justification for the authors rationale. … book is largely self-contained … . Helpful and challenging sets of exercises appear at the end of each section and open problems are listed at the end of each chapter. This work will be valuable as a text book for a graduate course, a reference on a lively area of mathematics, and a guide to appealing research problems." (Charles Vinsonhaler, Zentralblatt MATH, Vol. 1044 (19), 2004) Promotional Springer Book Archives Long Description Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor Review Quote From the reviews:"In this book, the variety of methods, the beauty of the results, and the appeal of the open problems provide ample justification for the authors rationale. … book is largely self-contained … . Helpful and challenging sets of exercises appear at the end of each section and open problems are listed at the end of each chapter. This work will be valuable as a text book for a graduate course, a reference on a lively area of mathematics, and a guide to appealing research problems." (Charles Vinsonhaler, Zentralblatt MATH, Vol. 1044 (19), 2004) Details ISBN9048163498 Publisher Springer Series Algebra and Applications Year 2010 ISBN-10 9048163498 ISBN-13 9789048163496 Format Paperback Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands DEWEY 512.25 Edition 1st Short Title ENDOMORPHISM RINGS OF ABELIAN Language English Media Book Series Number 2 Pages 443 Illustrations XII, 443 p. Publication Date 2010-12-03 Author A.A. Tuganbaev Edition Description Softcover reprint of the original 1st ed. 2003 Alternative 9781402014383 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96230885;

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