Center (algebra)

In algebra, particularly in the context of group theory and ring theory, the term "center" refers to a specific subset of a mathematical structure that has particular properties. 1. **Center of a Group**: For a group \( G \), the center of \( G \), denoted as \( Z(G) \), is defined as the set of elements in \( G \) that commute with every other element of \( G \).