Geodesic
Non-Deterministic Linear Hypersubstitutions
Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 1, pp. 97-103

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A non-deterministic hypersubstitution maps operation symbols to sets of terms of the corresponding arity. A non-deterministic hypersubstitution of type τ is said to be linear if it maps any operation symbol to a set of linear terms of the corresponding arity. We show that the extension of non-deterministic linear hypersubstitutions of type τ map sets of linear terms to sets of linear terms. As a consequence, the collection of all non-deterministic linear hypersubstitutions forms a monoid. Non-deterministic linear hypersubstitutions can be applied to identities and to algebras of type τ.
Keywords: linear term, non-deterministic linear hypersubstitution 
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Lekkoksung, Nareupanat; Jampachon, Prakit. Non-Deterministic Linear Hypersubstitutions. Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 1, pp. 97-103. http://geodesic.mathdoc.fr/item/DMGAA_2015_35_1_a7/