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A natural representation of partitions as terms of a universal algebra
Published online by Cambridge University Press: 09 April 2009
Abstract
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We consider a variety of algebras with two binary commutative and associative operations. For each integer n ≥ 0, we represent the partitions on an n-element set as n-ary terms in the variety. We determine necessary and sufficient conditions on the variety ensuring that, for each n, these representing terms be all the essentially n-ary terms and moreover that distinct partitions yield distinct terms.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 55 , Issue 3 , December 1993 , pp. 311 - 324
- Copyright
- Copyright © Australian Mathematical Society 1993
References
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