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Maximal Order


The ring of integers of a number field K, denoted O_K, is the set of algebraic integers in K, which is a ring of dimension d over Z, where d is the extension degree of K over Q. O_K is also sometimes called the maximal order of K.


See also

Algebraic Integer, Extension Field Degree, Number Field, Number Field Order, Ring, Ring of Integers

Portions of this entry contributed by David Terr

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Cite this as:

Terr, David and Weisstein, Eric W. "Maximal Order." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MaximalOrder.html

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