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978-0-387-48899-8
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9780387488998
978-0-387-48899-8
10.1007/978-0-387-48899-8
doi
QA150-272
PBF
bicssc
MAT002000
bisacsh
512
23
Lam, T. Y.
author.
Exercises in Modules and Rings
[electronic resource] /
by T. Y. Lam.
New York, NY :
Springer New York,
2007.
XVIII, 414 p.
online resource.
text
txt
rdacontent
computer
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rdamedia
online resource
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rda
Problem Books in Mathematics,
0941-3502
Free Modules, Projective, and Injective Modules -- Flat Modules and Homological Dimensions -- More Theory of Modules -- Rings of Quotients -- More Rings of Quotients -- Frobenius and Quasi-Frobenius Rings -- Matrix Rings, Categories of Modules and Morita Theory.
For the Backcover This Problem Book offers a compendium of 639 exercises of varying degrees of difficulty in the subject of modules and rings at the graduate level. The material covered includes projective, injective, and flat modules, homological and uniform dimensions, noncommutative localizations and Goldie’s theorems, maximal rings of quotients, Frobenius and quasi-Frobenius rings, as well as Morita’s classical theory of category dualities and equivalences. Each of the nineteen sections begins with an introduction giving the general background and the theoretical basis for the problems that follow. All exercises are solved in full detail; many are accompanied by pertinent historical and bibliographical information, or a commentary on possible improvements, generalizations, and latent connections to other problems. This volume is designed as a problem book for the author’s Lectures on Modules and Rings (Springer GTM, Vol. 189), from which the majority of the exercises were taken. Some forty new exercises have been added to further broaden the coverage. As a result, this book is ideal both as a companion volume to Lectures, and as a source for independent study. For students and researchers alike, this book will also serve as a handy reference for a copious amount of information in algebra and ring theory otherwise unavailable from textbooks. An outgrowth of the author’s lecture courses and seminars over the years at the University of California at Berkeley, this book and its predecessor Exercises in Classical Ring Theory (Springer, 2003) offer to the mathematics community the fullest and most comprehensive reference to date for problem solving in the theory of modules and rings.
Mathematics.
Algebra.
Associative rings.
Rings (Algebra).
Mathematics.
Algebra.
Associative Rings and Algebras.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9780387988504
Problem Books in Mathematics,
0941-3502
http://dx.doi.org/10.1007/978-0-387-48899-8
ZDB-2-SMA
369519
369519
0
0
0
0
EBook
elib
elib
2018-01-15
2018-01-15
2018-01-15
EBOOK