The present work contains 10 papers on foundations and 9 on the resolution of singularities that were first published between 1937 and 1967. In them, new methods are introduced that enabled Zariski to study algebraic geometry over arbitrary fields of coefficients. This broader outlook made it possible to solve certain classical problems using ideal theory and the theory of valuations that had long been regarded as too difficult to be handled.
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived...
Algebra for College Students is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on...
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