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Titlebook: Commutative Algebra; Volume II Oscar Zariski,Pierre Samuel Book 1960 O. Zariski and P. Samuel 1960 Grad.algebra.algebraic geometry.commutat

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书目名称Commutative Algebra
副标题Volume II
编辑Oscar Zariski,Pierre Samuel
视频videohttp://file.papertrans.cn/231/230748/230748.mp4
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: Commutative Algebra; Volume II Oscar Zariski,Pierre Samuel Book 1960 O. Zariski and P. Samuel 1960 Grad.algebra.algebraic geometry.commutat
描述This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geom­ etry, the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered through­ out the exposition. Thus, this volume can be used in part as an introduc­ tion to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebro-geometric material in a first reading (see" Instructions to the reader," page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (
出版日期Book 1960
关键词Grad; algebra; algebraic geometry; commutative algebra; polynomial
版次1
doihttps://doi.org/10.1007/978-3-662-29244-0
isbn_softcover978-3-662-27753-9
isbn_ebook978-3-662-29244-0Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightO. Zariski and P. Samuel 1960
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Valuation Theory,Homomorphic mappings of rings into fields are very common in commutative algebra and in its applications.
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Local Algebra,Let . be a ring with element 1, . an ideal in . (m ≠ . and . an .-module. The ideals .. (where we set ..= . form a descending sequence of ideals in .,and the modules ..E form a descending sequence of submodules of ..
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978-3-662-27753-9O. Zariski and P. Samuel 1960
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