Semi-Simple Algebras and Normality of Closed Subsets in Standard Table Algebras

By using Artin-Wedderburn Theorem and the decomp- osition of central edepotent, several results about normality on closed subsets in standard table algebras are generalized to complex semi-simple algebras and the proofs are easier than the original ones.

Normalized integral table algebras generated by a faithful real element of degree 2 and having 4 linear elements

We completely classify the normalized integral table algebra(A,B)generated by a faithful real element of degree 2 and having four linear elements.

ON A CLASS OF SIMPLE TABLE ALGEBRAS

This paper classfies the simple table algebras which satisfy the equation bc=μ+vc. The author proves that there are six classes of this kind of table algebras and decides the structure constants.