A precise, fundamental study of commutative algebra, this text pays particular attention to field theory and the ideal theory of Noetherian rings and Dedekind domains. Much of the material appeared here in book form for the first time. Intended for advanced undergraduates and graduate students in mathematics, the treatment's prerequisites are the rudiments of set theory and linear algebra, including matrices and determinants.
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Oscar Zariski (1899-1986) was born in Russia, studied at the Universities of Kiev and Rome, and emigrated to the United States in 1927. He taught at Johns Hopkins, where he became a Professor in 1937. He joined the mathematical faculty at Harvard University in 1947 and taught there until his retirement in 1969. His Collected Papers were published by MIT Press in four volumes. Pierre Samuel received his PhD from Princeton University in 1947, and another Doctorate degree from the University of Paris in 1949. He taught at the University of Clermont-Ferrand, and later at the University of Paris-Sud. Dover also publishes his Algebraic Theory of Numbers.
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