Matsumura commutative algebra lecture
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Matsumura,_Commutative_Algebra,1980

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Commutative ring theory
HIDEYUKI MATSUMURA
Department of Mathematics, Faculty of Sciences
Nagoya University, Nagoya, Japan
Translated by M. Reid
H. Matsumura, 1980.
English translation 0 Cambridge University Press 1986

http://therisingsea.org/notes/Matsumura.pdf
Matsumura: Commutative Algebra
Daniel Murfet
October 5, 2006
These notes closely follow Matsumura’s book [Mat80] on commutative algebra. Proofs are
the ones given there, sometimes with slightly more detail. Our focus is on the results needed in
algebraic geometry, so some topics in the book do not occur here or are not treated in their full
depth. In particular material the reader can find in the more elementary [AM69] is often omitted.
References on dimension theory are usually to Robert Ash’s webnotes since the author prefers this
approach to that of [AM69].