%0 Journal Article %T The combinational structure of non-homogeneous Markov chains with countable states %A A. Mukherjea %A A. Nakassis %J International Journal of Mathematics and Mathematical Sciences %D 1983 %I Hindawi Publishing Corporation %R 10.1155/s0161171283000320 %X Let P(s,t) denote a non-homogeneous continuous parameter Markov chain with countable state space E and parameter space [a,b], ¡é ¡¯ ¡é 0}. It is shown in this paper that R(s,t) is reflexive, transitive, and independent of (s,t), s Keywords non-homogeneous Markov chains --- reflexive and transitive relations --- homogeneity condition. %K non-homogeneous Markov chains %K reflexive and transitive relations %K homogeneity condition. %U http://dx.doi.org/10.1155/S0161171283000320