In
mathematical cryptography, a Kleinian integer is a
complex number of the form
, with ''m'' and ''n''
rational integers. They are named after
Felix Klein.
The Kleinian integers form a
ring called the Kleinian ring, which is the
ring of integers
In mathematics, the ring of integers of an algebraic number field K is the ring of all algebraic integers contained in K. An algebraic integer is a root of a monic polynomial with integer coefficients: x^n+c_x^+\cdots+c_0. This ring is often deno ...
in the imaginary
quadratic field . This ring is a
unique factorization domain.
See also
*
Eisenstein integer
In mathematics, the Eisenstein integers (named after Gotthold Eisenstein), occasionally also known as Eulerian integers (after Leonhard Euler), are the complex numbers of the form
:z = a + b\omega ,
where and are integers and
:\omega = \f ...
*
Gaussian integer
References
* .
Review.
*
Quadratic irrational numbers
Ring theory
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