| 1. | Let f be a monic, irreducible polynomial of degree n.
|
| 2. | It follows that they are roots of irreducible polynomials of degree over.
|
| 3. | Other irreducible polynomials are said " separable ".
|
| 4. | Irreducible polynomials allow us to construct the finite fields of non prime order.
|
| 5. | A polynomial decomposition enables calculation of symbolic roots using radicals, even for some irreducible polynomials.
|
| 6. | Any polynomial may be decomposed into the product of an invertible constant by a product of irreducible polynomials.
|
| 7. | A field " F " is perfect if and only if all irreducible polynomials are separable.
|
| 8. | This implies that, if that is the product of all monic irreducible polynomials over, whose degree divides.
|
| 9. | Zariski surfaces are affine 3-space " A " 3 defined by irreducible polynomials of the form
|
| 10. | One may easily deduce that, for every and every, there is at least one irreducible polynomial of degree over.
|
मोबाइल