1. On powers of relational and algebraic systems.
- Author
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Chaisansuk, N. and Leeratanavalee, S.
- Subjects
- *
QUASIVARIETIES (Universal algebra) , *BIRKHOFF'S theorem (Relativity) , *CARDINAL numbers , *ORDERED sets , *ALGEBRA , *MATHEMATICAL analysis - Abstract
We extend the well-known Birkhoff's operation of cardinal power from partially ordered sets onto n-ary relational systems. The extended power is then studied not only for n-ary 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 powers. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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