The lattice of varieties of monoids
Sergey V. Gusev, Edmond W. H. Lee, Boris M. Vernikov
TL;DR
This paper surveys the structure of the lattice of monoid varieties, presenting known and new results, along with proofs, open questions, and problems related to the organization of monoid varieties.
Contribution
It provides a comprehensive overview of the lattice of monoid varieties, including some unpublished results and their proofs, advancing understanding in this area.
Findings
Compilation of known results on monoid variety lattices
Introduction of some unpublished results with proofs
Formulation of open questions and problems in the field
Abstract
We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · semigroups and automata theory