Multiplicative Ideal Theory, Part 2 |
Common terms and phrases
algebraic Amer anneaux Bezout domain C.R. Acad closure completely integrally closed contains Corollary D-module D₁ Dedekind domain defining family discrete valuation ring divisor class group domain with identity domain with quotient extension finite real character follows fractional ideals genuine prime Gilmer group of divisibility Heinzer Hence Hiroshima Univ holds Ideal theorie implies integral domain integral ideal integrally closed domain intersection invertible isomorphism Jaffard Kronecker function ring Krull domain lattice-ordered Lemma M₁ Math maximal ideal minimal prime Mori Nagata Noetherian one-dimensional P-primary P₁ positive integer primary ideals principal fractional ideals Proc PROOF proper ideal proper prime ideal Proposition prove Prüfer domain pseudo-Bezout quotient field quotient ring rank one discrete Ribenboim set of minimal Shinziro shows Theorem Uber unique v-ideal v-operation V₁ valuative dimension zero element zero ideal ZPI-ring α α λ λ ΣΕΛ