In algebraic number theory, the integers are sometimes called "'rational integers "'to distinguish them from the more general algebraic integers.
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But if " R " is in fact a ring of algebraic integers, then the class number is always " finite ".
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Where is a non-zero integer such that l \ alpha _ 1, \ ldots, l \ alpha _ n are all algebraic integers.
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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.
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The sum on the right can be reinterpreted as a sum over algebraic integers in the field \ mathbb { Q } ( \ sqrt { \ tau } ).
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The matrix associated to an element " x " of " F " can also be used to give other, equivalent descriptions of algebraic integers.
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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.
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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.
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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.
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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.
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