EAN: 9780792349181

EXERCISES IN BASIC RING THEORY - P HAMBURG GRIG...

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.

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