local ring sentence in Hindi

Examples

1. So it is a quasi-excellent catenary local ring that is not excellent.
2. Local rings also don't have such idempotents, but for a different reason.
3. A local ring announcer was used instead of the usual Bruce Buffer.
4. Suppose that " R " is a complete Noetherian local ring.
5. Then R is a finite local ring which is " not " principal.
6. This includes the cases of local rings and finite dimensional algebras over fields.
7. In particular, it is a regular local ring of dimension " n ".
8. The quotient scheme is the spectrum of a local ring of finite rank.
9. The local ring in question is then the carrier of the formal moduli.
10. The local ring at any point is the corresponding valuation ring.