All Questions
2 questions
3
votes
0
answers
341
views
On rings for which given an ideal , over it every minimal prime ideal is finitely generated
Let $R$ be a commutative ring with unity. If for every ideal of $R$, the minimal prime ideals over it are all finitely generated, then there are finitely many minimal prime ideals over every ideal of $...
CommunityBot
- 1
1
vote
1
answer
228
views
Integral domain satisfying a.c.c. on radical ideals and with algebraically closed fraction field
If $R$ is an integral domain satisfying acc on radical ideals (i.e. Noetherian spectrum) and if the fraction field of $R$ is algebraically closed, then is $R$ a field ?
If $R$ is normal (integrally ...
- 4,111