Commun. Korean Math. Soc. 2000 Vol. 15, No. 1, 59-69

Dongwan Park, Young Soo Jo Keimyung University, Keimyung University

Abstract : For a permutation $\mu$ in $S_b$, the limit algebra $\amu$ of the stationary system given by $\mu$ is isomorphic to a refinement limit algebra if and only if its exponent set $\emu$ is the set $\zeroset$. In the current paper, we prove a sufficient condition under which $\emu = \zeroset$ when the order of $\mu$ is a power of $p$, where $p$ is a prime number dividing $b$.