Essential Variables and Separable Sets in Universal Algebra

Details Essential Variables and Separable Sets in Universal Algebra Essential Variables and Separable Sets in Universal Algebra

2008-12-10

arxiv.org/abs/0812.1979v1

Multiple Valued Logic, An International Journal, 2002, Vol. 8(2), pp. 165-181

Mathematics

Rings and Algebras

16 pages

Scientific paper

The study of essential and strongly essential variables in functions defined on finite sets is a part of $k$-valued logic. We extend the main definitions from functions to terms. This allows us to apply concepts and results of Universal Algebra. On the basis of the concept of a separable set of variables in a term we introduce a new notion of complexity of terms, algebras and varieties and give examples.

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