Flat epimorphic extensions of rings
β Scribed by George D. Findlay
- Publisher
- Springer-Verlag
- Year
- 1970
- Tongue
- French
- Weight
- 411 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We define non-unital exchange rings and we prove that if I is an ideal of a ring R, then R is an exchange ring if and only if I and RrI are exchange rings and idempotents can be lifted modulo I. We also show that we can replace the condition on liftability of idempotents with the condition that the
It is proved that any flat partial connection β F on a line bundle L over a manifold M, where F is a complex integrable subbundle of (T M) C , admits an extension to a connection β on L. The kernel of the curvature form Ο of β is investigated. These results are applied to description of the Bohr-Som