Abstract
This article is a survey of selected results on the structure of free algebraic systems obtained during the past 50 years. The focus is on ways free algebras can be decomposed into simpler components and how the number of components and the way the components interact with each other can be readily determined. A common thread running through the exposition is a concrete method of representing a free algebra as an array of elements.
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Berman, J. (2005). The structure of free algebras. In: Kudryavtsev, V.B., Rosenberg, I.G., Goldstein, M. (eds) Structural Theory of Automata, Semigroups, and Universal Algebra. NATO Science Series II: Mathematics, Physics and Chemistry, vol 207. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3817-8_2
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DOI: https://doi.org/10.1007/1-4020-3817-8_2
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