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Exercises in Modules and Rings (Problem Books in Mathematics) by T. Y. Lam (auth.) is a nonfiction available to read on EtoBox.

What is Exercises in Modules and Rings (Problem Books in Mathematics) about?

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

Who reads Exercises in Modules and Rings (Problem Books in Mathematics)?

Author

T. Y. Lam (auth.)

Publisher

Springer-Verlag New York

Published

2007

Language

EN

ISBN

9780387488998

Category

nonfiction

Subjects

Mathematics, Science, Stem