On stability of properties of general relational systems under powers

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 in...

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Bibliographic Details
Main Authors: Chaisansuk N., Leeratanavalee S.
Format: Article
Published: Springer Verlag 2015
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Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870284918&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38649
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Institution: Chiang Mai University
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Summary: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.