On a product of two elements in noncommutative C-algebras

A table or, equivalently, C-algebra with nonnegative structure constants, was introduced to study the common properties of characters and conjugacy classes of finite groups (see [1, 9] for details). In this paper, we study noncommutative C-algebras. We extend the results obtained in [1, 3] to the noncommutative case. As a consequence, we obtain some new results about homogeneous coherent configurations.