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Ideal Theory of Commutative Rings and Monoids.
・ISBN 978-3-031-88877-9 paper EUR 74.99
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| 著者・編者 | Halter-Koch, Franz / Geroldinger, Alfred / Reinhart, Andreas (eds.), |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2025 |
| ページ数 | 282 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14963＞ |
解説
This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module systems on arbitrary commutative monoids. Examples of monoids that are investigated include, but are not limited to, Mori monoids, Laskerian monoids, Pruefer monoids and Krull monoids. An in-depth study of various constructions from ring theory is also provided, with an emphasis on polynomial rings, Kronecker function rings and Nagata rings. The target audience is graduate students and researchers in ring and semigroup theory.