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Ideal Theory.
・ISBN 978-0-521-60483-3 2004 paper GB£ 44.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-56590-8
| 著者・編者 | Northcott, D. G., |
|---|---|
| シリーズ | Cambridge Tracts in Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| ページ数 | 120 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10976＞ |
解説
Ideal theory is important not only for the intrinsic interest and purity of its logical structure but because it is a necessary tool in many branches of mathematics. In this introduction to the modern theory of ideals, Professor Northcott assumes a sound background of mathematical theory but no previous knowledge of modern algebra. After a discussion of elementary ring theory, he deals with the properties of Noetherian rings and the algebraic and analytical theories of local rings. In order to give some idea of deeper applications of this theory the author has woven into the connected algebraic theory those results which play outstanding roles in the geometric applications.