division ring sentence in Hindi

Examples

1. Every division ring is therefore a division algebra over its center.
2. The center of a division ring is commutative and therefore a field.
3. In fact a division ring is also a simple ring.
4. Consequently, the endomorphism ring of any simple module is a division ring.
5. The projective line over a division ring results in a single auxiliary point.
6. Unlike quaternions they do not form a division ring.
7. This shows that integral domains and division rings don't have such idempotents.
8. In particular, the endomorphism ring of a simple module is a division ring.
9. Moufang planes are coordinatized by alternative division rings.
10. In contemporary mathematics, the division ring of quaternions exemplifies an algebra over a field.