Central simple algebra
id:
central-simple-algebra-240-7782452
title:
Central simple algebra
text:
In ring theory and related areas of mathematics a central simple algebra (CSA) over a field K is a finite-dimensional associative K-algebra A which is simple, and for which the center is exactly K. (Note that not every simple algebra is a central simple algebra over its center: for instance, if K is a field of characteristic 0, then the Weyl algebra K [ X , ∂ X ] is a simple algebra with center K, but is not a central simple algebra over K as it has infinite dimension as a K-module.) For example
brand slug:
wiki
category slug:
encyclopedia
description:
Finite dimensional algebra over a field whose central elements are that field
original url:
https://en.wikipedia.org/wiki/Central_simple_algebra
date created:
date modified:
2022-09-01T12:54:42Z
main entity:
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image:
fields total:
13
integrity:
14