Tai Chong Chankiat tat quaDenis Wong2025-01-022025-01-022023-01-1110.1142/S1793557123501073https://dspace-cris.utar.edu.my/handle/123456789/9774Let Cent(R) denote the set of all distinct centralizers in a ring R. A ring R is said to be n-centralizer ring if |Cent(R)|=n, where n∈N. In this paper, we illustrate some connections between the centralizers and pairwise non-commuting elements of a finite ring. Besides that, we characterize all n-centralizer finite rings for n=6,7,8,9, and also compute the commuting probability for all n-centralizer finite rings for n=6,7,8,9.journal-article