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Commutative Algebra Volume 1 by Oscar Zariski and Pierre Samuel is a rigorous study of commutative algebra. This paperback edition is published by Dover Publications Inc.
This volume offers a precise, foundational treatment of commutative algebra, with particular attention to field theory and the ideal theory of Noetherian rings and Dedekind domains. A significant portion of the material was first presented in book form here, shaping the text’s clear, systematic approach.
The prerequisites are limited to the rudiments of set theory and linear algebra, including matrices and determinants. It is intended for advanced undergraduates and graduate students in mathematics.
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