In
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, an Eichler order, named after
Martin Eichler
Martin Maximilian Emil Eichler (29 March 1912 – 7 October 1992) was a German number theorist.
Eichler received his Ph.D. from the Martin Luther University of Halle-Wittenberg in 1936.
Eichler and Goro Shimura developed a method to constr ...
, is an
order
Order, ORDER or Orders may refer to:
* Categorization, the process in which ideas and objects are recognized, differentiated, and understood
* Heterarchy, a system of organization wherein the elements have the potential to be ranked a number of d ...
of a
quaternion algebra that is the intersection of two
maximal order
In mathematics, an order in the sense of ring theory is a subring \mathcal of a ring A, such that
#''A'' is a finite-dimensional algebra over the field \mathbb of rational numbers
#\mathcal spans ''A'' over \mathbb, and
#\mathcal is a \mathbb-lat ...
s.
References
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{{Numtheory-stub
Number theory