The restricted partition lattices

The restricted partition lattices

The equivalence relations of a finite set can be identified with partitions on the set, and these partitions form a lattice under appropriate operations. In this paper, we define and study a new lattice where the underlying equivalence relations are special in the sense that some fixed elements are...

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Veröffentlicht in:Journal of algebraic combinatorics 2021-02, Vol.53 (1), p.49-58
1. Verfasser: Mező, István
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Computer Science
Convex and Discrete Geometry
Equivalence
Group Theory and Generalizations
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
Partitions
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Zusammenfassung:The equivalence relations of a finite set can be identified with partitions on the set, and these partitions form a lattice under appropriate operations. In this paper, we define and study a new lattice where the underlying equivalence relations are special in the sense that some fixed elements are not permitted to be equivalent.
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-019-00917-3