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arXiv · 1503.01174

Functional representation of substitution algebras

Norman Feldman
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Abstract

We show that the class of representable substitution algebras is characterized by a set of universal first order sentences. In addition, it is shown that a necessary and sufficient condition for a substitution algebra to be representable is that it is embeddable in a substitution algebra in which elements are distinguished. Furthermore, conditions in terms of neat embeddings are shown to be equivalent to representability.

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Norman Feldman. 2015-03-04. Functional representation of substitution algebras. https://arxiv.org/abs/1503.01174

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