Chapter II: Multiplicative ideal theory

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• 作者：Manfred Knebusch ; Digen Zhang
• 刊名：Lecture Notes in Mathematics
• 出版年：2004
• 出版时间：2004
• 年：2004
• 卷：1791
• 期：1
• 页码：p.83
• 全文大小：616 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Probability Theory and Stochastic Processes
  Dynamical Systems and Ergodic Theory
  Mathematical Biology
  Partial Differential Equations
  Functional Analysis
  Abstract Harmonic Analysis
  Group Theory and Generalizations
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1617-9692

文摘

Summary 1 Multiplicative properties of regular modules 2 Characterizing Prüfer extensions by the behavior of their regular ideals 3 Describing a Prüfer extension by its lattice of regular ideals 4 Tight extensions 5 Distributive submodules 6 Transfer theorems 7 Polars and factors in a Prüfer extension 8 Decomposition of regular modules 9 Prüfer overmodules 10 Bezout extensions 11 The Prüfer extensions of a noetherian ring 12 Invertible hulls for modules over noetherian rings