Minimal monoids generating varieties with complex subvariety lattices

A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy of every finite lattice. We show that the 6-element Brandt monoid generates a finitely universal variety of monoids and, by the previous results, it is the smallest generator for a monoid variety with this pro...

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Veröffentlicht in:	Proceedings of the Edinburgh Mathematical Society 2024-05, Vol.67 (2), p.617-642
1. Verfasser:	Gusev, Sergey V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Lattices Monoids Variables
Online-Zugang:	Volltext
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