Exercises in Basic Ring Theory (Paperback)

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ITEM# 14994470
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    ITEM#: 14994470

    Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.

    Specs

    ISBN 9789048149858
    Genre MATHEMATICS / Group Theory
    Format Paperback
    Pages 220
    Publisher Date 1998-01-01 00:00:00.0
    Publisher Springer Verlag
    Language English
    Series Name Texts in the Mathematical Sciences
    Series Volume Number 20
    Audience College/higher education
    Authors Calugareanu, Grigore
    Country of Origin United States

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