## Multiplicative ideal theory, Part 2 |

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### Contents

Definitions in 25 | 349 |

transcendence degree of J over D | 350 |

References from 25 | 356 |

Copyright | |

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algebraic Amer anneaux Appendix Bezout domain C.R. Acad closure commutative ring completely integrally closed contains Corollary D-module Dedekind domain defining family denote discrete valuation ring divisor class group domain with identity domain with quotient finite real character finite type follows fractional ideals Gilmer group of divisibility Hence Hiroshima Univ holds homomorphism Idealtheorie idempotent implies integral domain integral ideal integrally closed domain intersection invertible isomorphism Jaffard Kronecker function ring Krull domain lattice-ordered Lemma maximal ideal minimal prime module Mori Nagata Noetherian ring one-dimensional operation P-primary positive integer Priifer domain primary ideals principal fractional ideals Proc PROOF proper ideal proper prime ideal Proposition prove Prufer pseudo-Bezout quotient field quotient ring rank one discrete Ribenboim set of minimal Shinziro Theorem theory Uber unique v-ideal v-operation valuative dimension Waerden zero element zero ideal ZPI-ring