On prime divisors of the integral closure of a principal ideal.

DOI10.1515/crll.1972.255.210zbMath0241.13003OpenAlexW4233431243MaRDI QIDQ5651308

Louis J. jun. Ratliff

Publication date: 1972

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002187132

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Local rings and semilocal rings (13H99)

Related Items

Note on ideal-transforms, Rees rings, and Krull rings ⋮ Projectively full ideals in noetherian rings ⋮ Notes on three integral dependence theorems ⋮ Associated primes and integral closure of Noetherian rings ⋮ On Nagata's Result about Height One Maximal Ideals and Depth One Minimal Prime Ideals (I) ⋮ Projectively full radical ideals in integral extension rings ⋮ A note on Itoh (\(\operatorname{e}\))-valuation rings of an ideal ⋮ Three Theorems on Form Rings ⋮ The Integral Closure of a Noetherian Ring ⋮ Picard groups in Abelian group rings ⋮ Quasi-Unmixedness and Integral Closure of Rees Rings ⋮ Asymptotic prime divisors and integral extension rings