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Encyclopedia > Domain (ring theory)

In abstract algebra, a domain is the noncommutative analogue of an integral domain.


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PlanetMath: algebraic number theory (953 words)
Algebraic number theory is the study of algebraic numbers, their properties and their applications.
As an introduction, the reader should be comfortable with the basic theory of rational and irrational numbers, and its complementary entry, the basic theory of algebraic and transcendental numbers.
It is a well-known fact that the ring of integers of a number field is a Dedekind domain.
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