Akademik Veri Yönetim Sistemi
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.71, sa.1, ss.69-74, 2005 (SCI-Expanded)
The index and period of an element a of a finite semigroup are the smallest values of m >= 1 and r >= 1 such that a(m+r) = a(m). An element with index m and period 1 is called an m-potent element. For an element a of a finite full transformation semigroup with index m and period r, a unique factorisation alpha = sigma beta such that Shift(sigma) boolean AND Shift(beta) = theta is obtained, where sigma is a permutation of order r and beta is an m-potent. Some applications of this factorisation are given.