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(Mostly) Commutative Algebra (Paperback, 1st ed. 2021)
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(Mostly) Commutative Algebra (Paperback, 1st ed. 2021)
Series: Universitext
Expected to ship within 10 - 15 working days
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This book stems from lectures on commutative algebra for 4th-year
university students at two French universities (Paris and Rennes).
At that level, students have already followed a basic course in
linear algebra and are essentially fluent with the language of
vector spaces over fields. The topics introduced include arithmetic
of rings, modules, especially principal ideal rings and the
classification of modules over such rings, Galois theory, as well
as an introduction to more advanced topics such as homological
algebra, tensor products, and algebraic concepts involved in
algebraic geometry. More than 300 exercises will allow the reader
to deepen his understanding of the subject. The book also includes
11 historical vignettes about mathematicians who contributed to
commutative algebra.
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