algebraic integer in a sentence

Examples

1. In algebraic number theory, the integers are sometimes called "'rational integers "'to distinguish them from the more general algebraic integers.
2. But if " R " is in fact a ring of algebraic integers, then the class number is always " finite ".
3. where is a non-zero integer such that l \ alpha _ 1, \ ldots, l \ alpha _ n are all algebraic integers.
4. If unique factorization of algebraic integers were true, then it could have been used to rule out the existence of nontrivial solutions to Fermat's equation.
5. The sum on the right can be reinterpreted as a sum over algebraic integers in the field \ mathbb { Q } ( \ sqrt { \ tau } ).
6. The matrix associated to an element " x " of " F " can also be used to give other, equivalent descriptions of algebraic integers.
7. The properties of the quadratic integers ( and more generally of algebraic integers ) has been a long standing problem, which has motivated the elaboration of the notions of ideal.
8. The sum, difference and product of algebraic integers are again algebraic integers, which means that the algebraic integers form a number field are in many ways analogous to the integers.
9. The sum, difference and product of algebraic integers are again algebraic integers, which means that the algebraic integers form a number field are in many ways analogous to the integers.
10. The sum, difference and product of algebraic integers are again algebraic integers, which means that the algebraic integers form a number field are in many ways analogous to the integers.