Chain varieties of monoids
Sergey V. Gusev, Boris M. Vernikov
TL;DR
This paper classifies all non-group chain varieties of monoids, completing the understanding of their subvariety lattice structures within universal algebra.
Contribution
It provides a complete classification of non-group chain varieties of monoids, extending Sukhanov's work from semigroups to monoids.
Findings
Complete classification of non-group chain varieties of monoids
Extension of Sukhanov's semigroup results to monoids
Clarification of subvariety lattice structures in monoids
Abstract
A variety of universal algebras is called a chain variety if its subvariety lattice is a chain. Non-group chain varieties of semigroups were completely classified by Sukhanov in 1982. Here we completely determine non-group chain varieties of monoids as algebras of tyoe (2,0).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.