Kragujevac J. Math. 26 (2004) 133-137.

A NOTE ON INDECOMPOSABILITY OF BOOLEAN MATRICES

Bo Zhou

Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China
(e-mail: zhoubo@scnu.edu.cn)

Abstract. We disscuss the properties of n×n r-indecomposable Boolean matrices with -n < r < n, and determine all the numbers attainable as the k-th upper generalized exponents of n×n r-indecomposable Boolean matrices with 1 £ r, k < n.