TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Jampachon, Prakit
A1  - Wismath, Shelly
T1  - Clones of n-ary algebras
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Wismath, Shelly
T1  - Complexity of Terms, Composition and Hypersubstitution
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Wismath, Shelly
T1  - Valuations and Hypersubstitutions
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Denecke, Klaus-Dieter
A1  - Wismath, Shelly
T1  - Valuations of Terms
N2  - Let tau be a type of algebras. There are several commonly used measurements of the complexity of terms of type tau, including the depth or height of a term and the number of variable symbols appearing in a term. In this paper we formalize these various measurements, by defining a complexity or valuation mapping on terms. A valuation of terms is thus a mapping from the absolutely free term algebra of type tau into another algebra of the same type on which an order relation is defined. We develop the interconnections between such term valuations and the equational theory of Universal Algebra. The collection of all varieties of a given type forms a complete lattice which is very complex and difficult to study; valuations of terms offer a new method to study complete sublattices of this lattice
Y1  - 2003
ER  -