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OverviewThis 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. Full Product DetailsAuthor: P.A. Krylov , Alexander V. Mikhalev , A.A. TuganbaevPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 2003 Volume: 2 Dimensions: Width: 17.00cm , Height: 2.30cm , Length: 24.40cm Weight: 0.783kg ISBN: 9789048163496ISBN 10: 9048163498 Pages: 443 Publication Date: 03 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsI. 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.ReviewsFrom 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 author's 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) 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 author's 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) 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 author's 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) Author InformationAskar 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. Tab Content 6Author Website:Countries AvailableAll regions |
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