Authors: N Chaisansuk S Leeratanavalee
Publish Date: 2012/09/05
Volume: 139, Issue: 3, Pages: 195-207
Abstract
We extend the wellknown Birkhoff’s operation of cardinal power from partially ordered sets onto nary relational systems The extended power is then studied not only for nary relational systems but also for some of their special cases namely partial algebras and total algebras It turns out that a concept of diagonality plays an important role when studying the powersThis research was supported by the Royal Golden Jubilee PhD Program of the Thailand Research Fund the Graduate School and the Faculty of Science Chiang Mai University Thailand The corresponding author thanks the National Research University Project under Thailand’s Office of the Higher Education Commission for financial support The authors would like to thank the anonymous referee for many useful comments and suggestions
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