algebraic integer sentence in Hindi

Examples

1. The following are equivalent definitions of an algebraic integer.
2. Algebraic integers are a special case of integral elements of a ring extension.
3. Namely, the same power of q divides each of these algebraic integers.
4. Consider the ring of algebraic integers in Q ( sqrt ( 2 ) ).
5. Here and are ordinary integers, whereas the factors are algebraic integers in the cyclotomic field.
6. In fact, the ( rational ) integers are the algebraic integers that are also rational numbers.
7. This polynomial transformation is often used to reduce questions on algebraic numbers to questions on algebraic integers.
8. By multiplying A by proper integer if necessary we may assume that A is an algebraic integer.
9. Again, since the quadratic Gauss sum is an algebraic integer, we can use modular arithmetic with it.
10. Roots of unity are algebraic integers, hence their J . 15 : 13, 27 April 2009 ( UTC)