In this paper we show that every module of a table algebra
can be considered as a faithful module of some quotient table
Also we prove that every faithful module of a table algebra
determines a closed subset which is a cyclic group.
As a main result we give some information about multiplicities
of characters in table algebras.
table algebra, faithful module, multiplicity of character
20C99 - None of the above, but in this section
16G30 - Representations of orders, lattices, algebras over commutative rings [See also 16Hxx]