Acta Mathematica Vietnamica
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ON STABILITY OF PROPERTIES OF GENERAL RELATIONAL SYSTEMS UNDER POWERS
NITIMA CHAISANSUK, SORASAK LEERATANAVALEEpp. 407-418
Abstract
In the paper, we study powers of general relational systems. We solve the problem of finding sufficient conditions under which some properties of relational systems are preserved by powers of these systems. The properties considered are defined with respect to a decomposition of the corresponding index set and they are a common generalization of certain properties of binary and ternary relational systems. We also associate new relational systems with given ones and then study their powers.