## Asymptotic Prime Divisors |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

altitude formula Ass R/I assume asymptotic prime divisors Chapter choose claim clearly complete conforming pair consider contains a height contradiction Conversely Corollary Corollary 6.2 DEFINITION depth depth q divisor of zero easily equal example exists fact fails Finally finite R-module following are equivalent gives grade height 1 prime height Q height Q/P holds images immediate implies induction infinite integral integral closure integral extension Lemma length Let q Let RM locally quasi-unmixed Math maximal asymptotic sequence minimal prime modulo Noetherian domain Noetherian ring normal obviously pick prime containing prime divisor prime ideals prime q Proof PROPOS ITION Proposition 4.1 prove quasi-unmixed Question R-sequence reduces regular ideal Remark respect result ring R,M satisfies going satisfies the altitude shows spec stabilizes strong asymptotic sequence Suppose Theorem true write