The process of determining the centralizer (or commutant) of a given element or subset S in an ambient algebraic structure: the set C(S) = {x | x s = s x for all s in S}, computed within the chosen operation and ambient algebra.
Procedure for determining the subalgebra or subset of an algebraic structure consisting of all elements that commute with a specified subset; commonly called the centralizer or commutant of that subset.