Multiplicative Ideal Theory, Part 1 |
Contents
SOME QUESTIONS CONCERNING POLYNOMIAL RINGS 339 | 26 |
II | 77 |
Domains | 102 |
6 other sections not shown
Common terms and phrases
abelian group algebraic cancellation ideal clear closure coefficients completely integrally closed Consequently consider Corollary D₁ defined denote domain with identity domain with quotient extension f₁ finitely generated ideal follows fractional ideals Galois group genuine prime ideal Gilmer and Heinzer group G Hence holds ideals of RN idempotent implies induction integral dependence integral domain integral ideal integrally closed domain invertible ideal isolated subgroup isomorphism Jaffard Krull Lemma lying M₁ M₂ maximal ideal minimal prime monic polynomial Nagata Noetherian P-adic P-primary ideal positive integer principal ideal PROOF properly contained properties Proposition prove Prüfer domain quasi-local quotient field R-submodule R₁ rank regular element ring of quotients ring with identity set of prime shows subgroup of G subring suppose Theorem total quotient ring totally ordered unique valuation ring value group zero divisors zero element zero monomials ΕΛ ΣΕΛ