Center (ring theory)
Subring consisting of the elements x / From Wikipedia, the free encyclopedia
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In algebra, the centre of a ring R is the subring consisting of the elements x such that xy = yx for all elements y in R. It is a commutative ring and is denoted as Z(R); 'Z' stands for the German word Zentrum, meaning "centre".
If R is a ring, then R is an associative algebra over its centre. Conversely, if R is an associative algebra over a commutative subring S, then S is a subring of the center of R, and if S happens to be the center of R, then the algebra R is called a central algebra.