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**On Tamari lattices.**
*(English)*
Zbl 0811.06005

The Tamari lattice \(T_ n\) is defined as the set of all binary bracketings on \(n+1\) symbols ordered by applying the associative rule only in one direction. Using a vector representation it is proved that this order defines a lattice. To determine the structure of Tamari lattices, the author uses methods of formal concept analysis. The Tamari lattices are bounded subdirectly irreducible lattices. A construction method for these lattices is given. Tamari lattices and their congruence lattices have the same number of elements.

Reviewer: E.T.Schmidt (Budapest)

### Keywords:

Tamari lattice; binary bracketings; vector representation; formal concept analysis; subdirectly irreducible lattices; congruence lattices### Citations:

Zbl 0778.06007
Full Text:
DOI

### References:

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