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Exercises in Basic Ring Theory (Paperback, Softcover reprint of hardcover 1st ed. 1998)
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Exercises in Basic Ring Theory (Paperback, Softcover reprint of hardcover 1st ed. 1998)
Series: Texts in the Mathematical Sciences, 20
Expected to ship within 10 - 15 working days
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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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