Stratifications of the variety of R-trivial monoids


Andrew Solomon


Research Report 94-40
Date: December 1994


In this paper we consider the variety R of R-trivial monoids. After introducing the notion of a stratification of a variety, we introduce and use the catalan monoid of a directed graph to generate a stratification of R. Other stratifications of R are given and the relationship between them is explored.

Key phrases

monoid. catalan. equation. variety. pseudovariety. stratification.


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Sydney Mathematics and Statistics