division ring उदाहरण वाक्य

उदाहरण वाक्य

1. It holds in a projective plane over any field, but fails for projective planes over any noncommutative division ring.
2. Lastly, there is even an example of a domain in a division ring which satisfies " neither"
3. According to Wedderburn's little theorem, any finite division ring must be commutative, and hence a finite field.
4. From the bundle theorem follows the existence of a ) a skewfield ( division ring ) and b ) an ovoid.
5. The Artin Wedderburn theorem reduces classifying simple rings over a division ring to classifying division rings that contain a given division ring.
6. The Artin Wedderburn theorem reduces classifying simple rings over a division ring to classifying division rings that contain a given division ring.
7. The Artin Wedderburn theorem reduces classifying simple rings over a division ring to classifying division rings that contain a given division ring.
8. Beginning with division rings arising from geometry, the study of noncommutative rings has grown into a major area of modern algebra.
9. Division rings can be roughly classified according to whether or not they are finite-dimensional or infinite-dimensional over their centers.
10. Failure of one of the two distributive laws brings about near-rings and near-fields instead of rings and division rings respectively.