Some properties on the powers of $n$-ary relational systems


Nitima Chaisansuk, Sorasak Leeratanavalee




In the paper, we study the properties of $n$-ary relational systems with respect to a decomposition of the corresponding index set. It is a common generalization of certain properties of binary and ternary relational systems. For each of the properties, we give sufficient condition under which this property is preserved by powers of relational systems.