Lower Bound for the Number of 4-Element Generating Sets of Direct Products of Two Neighboring Partition Lattices

H. Strietz proved in 1975 that the minimum size of a generating set of the partition lattice Part(n) on the n-element set (n ≥ 4) equals 4. This classical result forms the foundation for this study. Strietz's results have been echoed by L. Zádori (1983), who gave a new elegant proof confirming...

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Bibliographic Details
Main Authors: Oluoch Lilian, Al-Najafi Amenah
Format: Article
Language:English
Published: University of Zielona Góra 2022-10-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1393