On the number of generators of an ideal
Event details
| Date | 03.07.2015 |
| Hour | 15:15 › 16:15 |
| Speaker | Jean Fasel - Mathematisches Institut der Universität München |
| Location | |
| Category | Conferences - Seminars |
Let $R$ be a commutative ring an let $I\subset R$ be an ideal. Suppose that there is a surjective homomorphism $(R/I)^n\to I/I^2$ for some $n\in \N$. A classical question is to know if this surjection lifts to a surjective homomorphism $R^n\to I$. We give necessary and sufficient conditions for the question to have a positive answer in case R is smooth over a field and derive several result from this, showing in particular that the question has a positive answer over polynomial rings.
Practical information
- Informed public
- Free
Organizer
- Prof. Eva Bayer
Contact
- Natascha Fontana