center (rings)

If A is a ring, the center of A, sometimes denoted Z(A), is the set of all elements in A that commute with all other elements of A. That is,


Note that 0Z(A) so the center is non-empty. If we assume that A is a ring with a multiplicative unity 1, then 1 is in the center as well. The center of A is also a subring of A.

Title center (rings)
Canonical name Centerrings
Date of creation 2013-03-22 12:45:29
Last modified on 2013-03-22 12:45:29
Owner drini (3)
Last modified by drini (3)
Numerical id 6
Author drini (3)
Entry type Definition
Classification msc 16U70
Synonym center
Related topic GroupCentre