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Endomorphism Rings of Abelian Groups

Krylov, P.A. Mikhalev Alexander V. Tuganbaev, A.A.
Heftet / 2010 / Engelsk

Produktdetaljer

ISBN
9789048163496
Publisert
2010-12-03
Utgiver
Springer
Høyde
244 mm
Bredde
170 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
12

Forfatter
Krylov, P.A.
Mikhalev Alexander V.
Tuganbaev, A.A.

Endomorphism Rings of Abelian Groups

Krylov, P.A. Mikhalev Alexander V. Tuganbaev, A.A.
Heftet / 2010 / Engelsk
Krylov, P.A. Mikhalev Alexander V. Tuganbaev, A.A.
Heftet / 2010 / Engelsk
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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)

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.
Les mer
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.
Les mer
Springer Book Archives
Springer Book Archives
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

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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)

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.
Les mer
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.
Les mer
Springer Book Archives
Springer Book Archives
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Produktdetaljer

ISBN
9789048163496
Publisert
2010-12-03
Utgiver
Springer
Høyde
244 mm
Bredde
170 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
12

Forfatter
Krylov, P.A.
Mikhalev Alexander V.
Tuganbaev, A.A.

Relaterte produkter